It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 146 is not a prime number.
For example, 508 146 can be divided by 2: 508 146 / 2 = 254 073.
For 508 146 to be a prime number, it would have been required that 508 146 has only two divisors, i.e., itself and 1.
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508 146 is an even number, because it is evenly divisible by 2: 508 146 / 2 = 254 073.
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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 508 146 is about 712.844.
Thus, the square root of 508 146 is not an integer, and therefore 508 146 is not a square number.
The square of a number (here 508 146) is the result of the product of this number (508 146) by itself (i.e., 508 146 × 508 146); the square of 508 146 is sometimes called "raising 508 146 to the power 2", or "508 146 squared".
The square of 508 146 is 258 212 357 316 because 508 146 × 508 146 = 508 1462 = 258 212 357 316.
As a consequence, 508 146 is the square root of 258 212 357 316.
The multiples of 508 146 are all integers evenly divisible by 508 146, that is all numbers such that the remainder of the division by 508 146 is zero. There are infinitely many multiples of 508 146. The smallest multiples of 508 146 are: