It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 133 is not a prime number.
For example, 508 133 can be divided by 137: 508 133 / 137 = 3 709.
For 508 133 to be a prime number, it would have been required that 508 133 has only two divisors, i.e., itself and 1.
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508 133 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 508 133 is about 712.834.
Thus, the square root of 508 133 is not an integer, and therefore 508 133 is not a square number.
The square of a number (here 508 133) is the result of the product of this number (508 133) by itself (i.e., 508 133 × 508 133); the square of 508 133 is sometimes called "raising 508 133 to the power 2", or "508 133 squared".
The square of 508 133 is 258 199 145 689 because 508 133 × 508 133 = 508 1332 = 258 199 145 689.
As a consequence, 508 133 is the square root of 258 199 145 689.
The multiples of 508 133 are all integers evenly divisible by 508 133, that is all numbers such that the remainder of the division by 508 133 is zero. There are infinitely many multiples of 508 133. The smallest multiples of 508 133 are: