It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 518 337 is not a prime number.
For example, 518 337 can be divided by 3: 518 337 / 3 = 172 779.
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For 518 337 to be a prime number, it would have been required that 518 337 has only two divisors, i.e., itself and 1.
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518 337 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 518 337 is about 719.956.
Thus, the square root of 518 337 is not an integer, and therefore 518 337 is not a square number.
The square of a number (here 518 337) is the result of the product of this number (518 337) by itself (i.e., 518 337 × 518 337); the square of 518 337 is sometimes called "raising 518 337 to the power 2", or "518 337 squared".
The square of 518 337 is 268 673 245 569 because 518 337 × 518 337 = 518 3372 = 268 673 245 569.
As a consequence, 518 337 is the square root of 268 673 245 569.
The multiples of 518 337 are all integers evenly divisible by 518 337, that is all numbers such that the remainder of the division by 518 337 is zero. There are infinitely many multiples of 518 337. The smallest multiples of 518 337 are: