It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 678 is not a prime number.
For example, 508 678 can be divided by 2: 508 678 / 2 = 254 339.
For 508 678 to be a prime number, it would have been required that 508 678 has only two divisors, i.e., itself and 1.
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508 678 is an even number, because it is evenly divisible by 2: 508 678 / 2 = 254 339.
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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 508 678 is about 713.217.
Thus, the square root of 508 678 is not an integer, and therefore 508 678 is not a square number.
The square of a number (here 508 678) is the result of the product of this number (508 678) by itself (i.e., 508 678 × 508 678); the square of 508 678 is sometimes called "raising 508 678 to the power 2", or "508 678 squared".
The square of 508 678 is 258 753 307 684 because 508 678 × 508 678 = 508 6782 = 258 753 307 684.
As a consequence, 508 678 is the square root of 258 753 307 684.
The multiples of 508 678 are all integers evenly divisible by 508 678, that is all numbers such that the remainder of the division by 508 678 is zero. There are infinitely many multiples of 508 678. The smallest multiples of 508 678 are: