It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 518 317 is not a prime number.
For example, 518 317 can be divided by 29: 518 317 / 29 = 17 873.
For 518 317 to be a prime number, it would have been required that 518 317 has only two divisors, i.e., itself and 1.
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518 317 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 518 317 is about 719.942.
Thus, the square root of 518 317 is not an integer, and therefore 518 317 is not a square number.
The square of a number (here 518 317) is the result of the product of this number (518 317) by itself (i.e., 518 317 × 518 317); the square of 518 317 is sometimes called "raising 518 317 to the power 2", or "518 317 squared".
The square of 518 317 is 268 652 512 489 because 518 317 × 518 317 = 518 3172 = 268 652 512 489.
As a consequence, 518 317 is the square root of 268 652 512 489.
The multiples of 518 317 are all integers evenly divisible by 518 317, that is all numbers such that the remainder of the division by 518 317 is zero. There are infinitely many multiples of 518 317. The smallest multiples of 518 317 are: