# 507

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

What does the number 507 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

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

## Prime factorization of 507:

### 3 × 132

(3 × 13 × 13)

See below for interesting mathematical facts about the number 507 from the Numbermatics database.

### Names of 507

• Cardinal: 507 can be written as Five hundred seven.

### Scientific notation

• Scientific notation: 5.07 × 102

### Factors of 507

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 16

### Divisors of 507

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 732
• Sum of proper divisors (its aliquot sum) s(n): 225
• 507 is a deficient number, because the sum of its proper divisors (225) is less than itself. Its deficiency is 282

### Bases of 507

• Binary: 1111110112
• Base-36: E3

### Squares and roots of 507

• 507 squared (5072) is 257049
• 507 cubed (5073) is 130323843
• The square root of 507 is 22.5166604985
• The cube root of 507 is 7.9738730993

### Scales and comparisons

How big is 507?
• 507 seconds is equal to 8 minutes, 27 seconds.
• To count from 1 to 507 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 507 cubic inches would be around 0.7 feet tall.

### Recreational maths with 507

• 507 backwards is 705
• The number of decimal digits it has is: 3
• The sum of 507's digits is 12
• More coming soon!