# 521

## 521 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 521 look like?

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

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

## Prime factorization of 521:

### 521

See below for interesting mathematical facts about the number 521 from the Numbermatics database.

### Names of 521

• Cardinal: 521 can be written as Five hundred twenty-one.

### Scientific notation

• Scientific notation: 5.21 × 102

### Factors of 521

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 521

### Divisors of 521

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 522
• Sum of proper divisors (its aliquot sum) s(n): 1
• 521 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 520

### Bases of 521

• Binary: 10000010012
• Base-36: EH

### Squares and roots of 521

• 521 squared (5212) is 271441
• 521 cubed (5213) is 141420761
• The square root of 521 is 22.8254244211
• The cube root of 521 is 8.0466029929

### Scales and comparisons

How big is 521?
• 521 seconds is equal to 8 minutes, 41 seconds.
• To count from 1 to 521 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 521 cubic inches would be around 0.7 feet tall.

### Recreational maths with 521

• 521 backwards is 125
• 521 is a twin prime! Its twin is 523
• The number of decimal digits it has is: 3
• The sum of 521's digits is 8
• More coming soon!