It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 216 is not a prime number.
For example, 508 216 can be divided by 2: 508 216 / 2 = 254 108.
For 508 216 to be a prime number, it would have been required that 508 216 has only two divisors, i.e., itself and 1.
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508 216 is an even number, because it is evenly divisible by 2: 508 216 / 2 = 254 108.
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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 508 216 is about 712.893.
Thus, the square root of 508 216 is not an integer, and therefore 508 216 is not a square number.
The square of a number (here 508 216) is the result of the product of this number (508 216) by itself (i.e., 508 216 × 508 216); the square of 508 216 is sometimes called "raising 508 216 to the power 2", or "508 216 squared".
The square of 508 216 is 258 283 502 656 because 508 216 × 508 216 = 508 2162 = 258 283 502 656.
As a consequence, 508 216 is the square root of 258 283 502 656.
The multiples of 508 216 are all integers evenly divisible by 508 216, that is all numbers such that the remainder of the division by 508 216 is zero. There are infinitely many multiples of 508 216. The smallest multiples of 508 216 are: