It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 513 is not a prime number.
For example, 507 513 can be divided by 3: 507 513 / 3 = 169 171.
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For 507 513 to be a prime number, it would have been required that 507 513 has only two divisors, i.e., itself and 1.
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507 513 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 507 513 is about 712.399.
Thus, the square root of 507 513 is not an integer, and therefore 507 513 is not a square number.
The square of a number (here 507 513) is the result of the product of this number (507 513) by itself (i.e., 507 513 × 507 513); the square of 507 513 is sometimes called "raising 507 513 to the power 2", or "507 513 squared".
The square of 507 513 is 257 569 445 169 because 507 513 × 507 513 = 507 5132 = 257 569 445 169.
As a consequence, 507 513 is the square root of 257 569 445 169.
The multiples of 507 513 are all integers evenly divisible by 507 513, that is all numbers such that the remainder of the division by 507 513 is zero. There are infinitely many multiples of 507 513. The smallest multiples of 507 513 are: