It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 634 is not a prime number.
For example, 504 634 can be divided by 2: 504 634 / 2 = 252 317.
For 504 634 to be a prime number, it would have been required that 504 634 has only two divisors, i.e., itself and 1.
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504 634 is an even number, because it is evenly divisible by 2: 504 634 / 2 = 252 317.
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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 504 634 is about 710.376.
Thus, the square root of 504 634 is not an integer, and therefore 504 634 is not a square number.
The square of a number (here 504 634) is the result of the product of this number (504 634) by itself (i.e., 504 634 × 504 634); the square of 504 634 is sometimes called "raising 504 634 to the power 2", or "504 634 squared".
The square of 504 634 is 254 655 473 956 because 504 634 × 504 634 = 504 6342 = 254 655 473 956.
As a consequence, 504 634 is the square root of 254 655 473 956.
The multiples of 504 634 are all integers evenly divisible by 504 634, that is all numbers such that the remainder of the division by 504 634 is zero. There are infinitely many multiples of 504 634. The smallest multiples of 504 634 are: