It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 707 is not a prime number.
For example, 507 707 can be divided by 233: 507 707 / 233 = 2 179.
For 507 707 to be a prime number, it would have been required that 507 707 has only two divisors, i.e., itself and 1.
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507 707 is an odd number, because it is not evenly divisible by 2.
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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 507 707 is about 712.536.
Thus, the square root of 507 707 is not an integer, and therefore 507 707 is not a square number.
The square of a number (here 507 707) is the result of the product of this number (507 707) by itself (i.e., 507 707 × 507 707); the square of 507 707 is sometimes called "raising 507 707 to the power 2", or "507 707 squared".
The square of 507 707 is 257 766 397 849 because 507 707 × 507 707 = 507 7072 = 257 766 397 849.
As a consequence, 507 707 is the square root of 257 766 397 849.
The multiples of 507 707 are all integers evenly divisible by 507 707, that is all numbers such that the remainder of the division by 507 707 is zero. There are infinitely many multiples of 507 707. The smallest multiples of 507 707 are: