# 509

## 509 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 509 look like?

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

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

## Prime factorization of 509:

### 509

See below for interesting mathematical facts about the number 509 from the Numbermatics database.

### Names of 509

• Cardinal: 509 can be written as Five hundred nine.

### Scientific notation

• Scientific notation: 5.09 × 102

### Factors of 509

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 509

### Divisors of 509

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 510
• Sum of proper divisors (its aliquot sum) s(n): 1
• 509 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 508

### Bases of 509

• Binary: 1111111012
• Base-36: E5

### Squares and roots of 509

• 509 squared (5092) is 259081
• 509 cubed (5093) is 131872229
• The square root of 509 is 22.5610283453
• The cube root of 509 is 7.9843443827

### Scales and comparisons

How big is 509?
• 509 seconds is equal to 8 minutes, 29 seconds.
• To count from 1 to 509 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 509 cubic inches would be around 0.7 feet tall.

### Recreational maths with 509

• 509 backwards is 905
• The number of decimal digits it has is: 3
• The sum of 509's digits is 14
• More coming soon!