It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 364 is not a prime number.
For example, 508 364 can be divided by 2: 508 364 / 2 = 254 182.
For 508 364 to be a prime number, it would have been required that 508 364 has only two divisors, i.e., itself and 1.
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508 364 is an even number, because it is evenly divisible by 2: 508 364 / 2 = 254 182.
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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 508 364 is about 712.996.
Thus, the square root of 508 364 is not an integer, and therefore 508 364 is not a square number.
The square of a number (here 508 364) is the result of the product of this number (508 364) by itself (i.e., 508 364 × 508 364); the square of 508 364 is sometimes called "raising 508 364 to the power 2", or "508 364 squared".
The square of 508 364 is 258 433 956 496 because 508 364 × 508 364 = 508 3642 = 258 433 956 496.
As a consequence, 508 364 is the square root of 258 433 956 496.
The multiples of 508 364 are all integers evenly divisible by 508 364, that is all numbers such that the remainder of the division by 508 364 is zero. There are infinitely many multiples of 508 364. The smallest multiples of 508 364 are: