# 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
• 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!