It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 708 is not a prime number.
For example, 507 708 can be divided by 2: 507 708 / 2 = 253 854.
For 507 708 to be a prime number, it would have been required that 507 708 has only two divisors, i.e., itself and 1.
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507 708 is an even number, because it is evenly divisible by 2: 507 708 / 2 = 253 854.
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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 507 708 is about 712.536.
Thus, the square root of 507 708 is not an integer, and therefore 507 708 is not a square number.
The square of a number (here 507 708) is the result of the product of this number (507 708) by itself (i.e., 507 708 × 507 708); the square of 507 708 is sometimes called "raising 507 708 to the power 2", or "507 708 squared".
The square of 507 708 is 257 767 413 264 because 507 708 × 507 708 = 507 7082 = 257 767 413 264.
As a consequence, 507 708 is the square root of 257 767 413 264.
The multiples of 507 708 are all integers evenly divisible by 507 708, that is all numbers such that the remainder of the division by 507 708 is zero. There are infinitely many multiples of 507 708. The smallest multiples of 507 708 are: