523 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 523 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

523 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 523:


See below for interesting mathematical facts about the number 523 from the Numbermatics database.

Names of 523

  • Cardinal: 523 can be written as Five hundred twenty-three.

Scientific notation

  • Scientific notation: 5.23 × 102

Factors of 523

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 523

Divisors of 523

  • Number of divisors d(n): 2
  • Complete list of divisors:
    1 523
  • Sum of all divisors σ(n): 524
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 523 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 522

Bases of 523

  • Binary: 10000010112
  • Hexadecimal: 0x20B
  • Base-36: EJ

Squares and roots of 523

  • 523 squared (5232) is 273529
  • 523 cubed (5233) is 143055667
  • The square root of 523 is 22.8691932519
  • The cube root of 523 is 8.0568862029

Scales and comparisons

How big is 523?
  • 523 seconds is equal to 8 minutes, 43 seconds.
  • To count from 1 to 523 would take you about four minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 523 cubic inches would be around 0.7 feet tall.

Recreational maths with 523

  • 523 backwards is 325
  • The number of decimal digits it has is: 3
  • The sum of 523's digits is 10
  • More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 523 - Facts about the integer". Numbermatics.com. 2023. Web. 4 October 2023.

APA style:
Numbermatics. (2023). Number 523 - Facts about the integer. Retrieved 4 October 2023, from https://numbermatics.com/n/523/

Chicago style:
Numbermatics. 2023. "Number 523 - Facts about the integer". https://numbermatics.com/n/523/

The information we have on file for 523 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 523, math, Factors of 523, curriculum, school, college, exams, university, Prime factorization of 523, STEM, science, technology, engineering, physics, economics, calculator, five hundred twenty-three.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.