It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 264 is not a prime number.
For example, 512 264 can be divided by 2: 512 264 / 2 = 256 132.
For 512 264 to be a prime number, it would have been required that 512 264 has only two divisors, i.e., itself and 1.
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512 264 is an even number, because it is evenly divisible by 2: 512 264 / 2 = 256 132.
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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 512 264 is about 715.726.
Thus, the square root of 512 264 is not an integer, and therefore 512 264 is not a square number.
The square of a number (here 512 264) is the result of the product of this number (512 264) by itself (i.e., 512 264 × 512 264); the square of 512 264 is sometimes called "raising 512 264 to the power 2", or "512 264 squared".
The square of 512 264 is 262 414 405 696 because 512 264 × 512 264 = 512 2642 = 262 414 405 696.
As a consequence, 512 264 is the square root of 262 414 405 696.
The multiples of 512 264 are all integers evenly divisible by 512 264, that is all numbers such that the remainder of the division by 512 264 is zero. There are infinitely many multiples of 512 264. The smallest multiples of 512 264 are: