Is 512 a prime number? What are the divisors of 512?

## Parity of 512

512 is an even number, because it is evenly divisible by 2: 512 / 2 = 256.

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## Is 512 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 512 is about 22.627.

Thus, the square root of 512 is not an integer, and therefore 512 is not a square number.

## What is the square number of 512?

The square of a number (here 512) is the result of the product of this number (512) by itself (i.e., 512 × 512); the square of 512 is sometimes called "raising 512 to the power 2", or "512 squared".

The square of 512 is 262 144 because 512 × 512 = 5122 = 262 144.

As a consequence, 512 is the square root of 262 144.

## Number of digits of 512

512 is a number with 3 digits.

## What are the multiples of 512?

The multiples of 512 are all integers evenly divisible by 512, that is all numbers such that the remainder of the division by 512 is zero. There are infinitely many multiples of 512. The smallest multiples of 512 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 512). 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 22.627). 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 512

• Preceding numbers: …510, 511
• Following numbers: 513, 514

### Nearest numbers from 512

• Preceding prime number: 509
• Following prime number: 521
Find out whether some integer is a prime number