Is 515 a prime number? What are the divisors of 515?

## Parity of 515

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

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## Is 515 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 515 is about 22.694.

Thus, the square root of 515 is not an integer, and therefore 515 is not a square number.

## What is the square number of 515?

The square of a number (here 515) is the result of the product of this number (515) by itself (i.e., 515 × 515); the square of 515 is sometimes called "raising 515 to the power 2", or "515 squared".

The square of 515 is 265 225 because 515 × 515 = 5152 = 265 225.

As a consequence, 515 is the square root of 265 225.

## Number of digits of 515

515 is a number with 3 digits.

## What are the multiples of 515?

The multiples of 515 are all integers evenly divisible by 515, that is all numbers such that the remainder of the division by 515 is zero. There are infinitely many multiples of 515. The smallest multiples of 515 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 515). 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 22.694). 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 515

• Preceding numbers: …513, 514
• Following numbers: 516, 517

### Nearest numbers from 515

• Preceding prime number: 509
• Following prime number: 521
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