It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 658 is not a prime number.
For example, 504 658 can be divided by 2: 504 658 / 2 = 252 329.
For 504 658 to be a prime number, it would have been required that 504 658 has only two divisors, i.e., itself and 1.
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504 658 is an even number, because it is evenly divisible by 2: 504 658 / 2 = 252 329.
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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 504 658 is about 710.393.
Thus, the square root of 504 658 is not an integer, and therefore 504 658 is not a square number.
The square of a number (here 504 658) is the result of the product of this number (504 658) by itself (i.e., 504 658 × 504 658); the square of 504 658 is sometimes called "raising 504 658 to the power 2", or "504 658 squared".
The square of 504 658 is 254 679 696 964 because 504 658 × 504 658 = 504 6582 = 254 679 696 964.
As a consequence, 504 658 is the square root of 254 679 696 964.
The multiples of 504 658 are all integers evenly divisible by 504 658, that is all numbers such that the remainder of the division by 504 658 is zero. There are infinitely many multiples of 504 658. The smallest multiples of 504 658 are: