513

513 is an odd composite number composed of two prime numbers multiplied together.

What does the number 513 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 8 divisors.

513 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eight divisors.

Prime factorization of 513:

33 × 19

(3 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 513 from the Numbermatics database.


Names of 513

  • Cardinal: 513 can be written as Five hundred thirteen.

Scientific notation

  • Scientific notation: 5.13 × 102

Factors of 513

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 22

Divisors of 513

  • Number of divisors d(n): 8
  • Complete list of divisors:
  • Sum of all divisors σ(n): 800
  • Sum of proper divisors (its aliquot sum) s(n): 287
  • 513 is a deficient number, because the sum of its proper divisors (287) is less than itself. Its deficiency is 226

Bases of 513

  • Binary: 10000000012
  • Hexadecimal: 0x201
  • Base-36: E9

Squares and roots of 513

  • 513 squared (5132) is 263169
  • 513 cubed (5133) is 135005697
  • The square root of 513 is 22.6495033059
  • The cube root of 513 is 8.0052049463

Scales and comparisons

How big is 513?
  • 513 seconds is equal to 8 minutes, 33 seconds.
  • To count from 1 to 513 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 513 cubic inches would be around 0.7 feet tall.

Recreational maths with 513

  • 513 backwards is 315
  • 513 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 513's digits is 9
  • More coming soon!

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The information we have on file for 513 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!

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