It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 166 is not a prime number.
For example, 508 166 can be divided by 2: 508 166 / 2 = 254 083.
For 508 166 to be a prime number, it would have been required that 508 166 has only two divisors, i.e., itself and 1.
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508 166 is an even number, because it is evenly divisible by 2: 508 166 / 2 = 254 083.
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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 508 166 is about 712.858.
Thus, the square root of 508 166 is not an integer, and therefore 508 166 is not a square number.
The square of a number (here 508 166) is the result of the product of this number (508 166) by itself (i.e., 508 166 × 508 166); the square of 508 166 is sometimes called "raising 508 166 to the power 2", or "508 166 squared".
The square of 508 166 is 258 232 683 556 because 508 166 × 508 166 = 508 1662 = 258 232 683 556.
As a consequence, 508 166 is the square root of 258 232 683 556.
The multiples of 508 166 are all integers evenly divisible by 508 166, that is all numbers such that the remainder of the division by 508 166 is zero. There are infinitely many multiples of 508 166. The smallest multiples of 508 166 are: