Is 509 a prime number? What are the divisors of 509?

## Parity of 509

509 is an odd number, because it is not evenly divisible by 2.

Find out more:

## Is 509 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 509 is about 22.561.

Thus, the square root of 509 is not an integer, and therefore 509 is not a square number.

Anyway, 509 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 509?

The square of a number (here 509) is the result of the product of this number (509) by itself (i.e., 509 × 509); the square of 509 is sometimes called "raising 509 to the power 2", or "509 squared".

The square of 509 is 259 081 because 509 × 509 = 5092 = 259 081.

As a consequence, 509 is the square root of 259 081.

## Number of digits of 509

509 is a number with 3 digits.

## What are the multiples of 509?

The multiples of 509 are all integers evenly divisible by 509, that is all numbers such that the remainder of the division by 509 is zero. There are infinitely many multiples of 509. The smallest multiples of 509 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 509). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 22.561). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 509

• Preceding numbers: …507, 508
• Following numbers: 510, 511

### Nearest numbers from 509

• Preceding prime number: 503
• Following prime number: 521
Find out whether some integer is a prime number