It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 241 is not a prime number.
For example, 508 241 can be divided by 383: 508 241 / 383 = 1 327.
For 508 241 to be a prime number, it would have been required that 508 241 has only two divisors, i.e., itself and 1.
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508 241 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 508 241 is about 712.910.
Thus, the square root of 508 241 is not an integer, and therefore 508 241 is not a square number.
The square of a number (here 508 241) is the result of the product of this number (508 241) by itself (i.e., 508 241 × 508 241); the square of 508 241 is sometimes called "raising 508 241 to the power 2", or "508 241 squared".
The square of 508 241 is 258 308 914 081 because 508 241 × 508 241 = 508 2412 = 258 308 914 081.
As a consequence, 508 241 is the square root of 258 308 914 081.
The multiples of 508 241 are all integers evenly divisible by 508 241, that is all numbers such that the remainder of the division by 508 241 is zero. There are infinitely many multiples of 508 241. The smallest multiples of 508 241 are: