It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 512 is not a prime number.
For example, 508 512 can be divided by 2: 508 512 / 2 = 254 256.
For 508 512 to be a prime number, it would have been required that 508 512 has only two divisors, i.e., itself and 1.
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508 512 is an even number, because it is evenly divisible by 2: 508 512 / 2 = 254 256.
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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 508 512 is about 713.100.
Thus, the square root of 508 512 is not an integer, and therefore 508 512 is not a square number.
The square of a number (here 508 512) is the result of the product of this number (508 512) by itself (i.e., 508 512 × 508 512); the square of 508 512 is sometimes called "raising 508 512 to the power 2", or "508 512 squared".
The square of 508 512 is 258 584 454 144 because 508 512 × 508 512 = 508 5122 = 258 584 454 144.
As a consequence, 508 512 is the square root of 258 584 454 144.
The multiples of 508 512 are all integers evenly divisible by 508 512, that is all numbers such that the remainder of the division by 508 512 is zero. There are infinitely many multiples of 508 512. The smallest multiples of 508 512 are: