It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 534 is not a prime number.
For example, 504 534 can be divided by 2: 504 534 / 2 = 252 267.
For 504 534 to be a prime number, it would have been required that 504 534 has only two divisors, i.e., itself and 1.
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504 534 is an even number, because it is evenly divisible by 2: 504 534 / 2 = 252 267.
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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 504 534 is about 710.306.
Thus, the square root of 504 534 is not an integer, and therefore 504 534 is not a square number.
The square of a number (here 504 534) is the result of the product of this number (504 534) by itself (i.e., 504 534 × 504 534); the square of 504 534 is sometimes called "raising 504 534 to the power 2", or "504 534 squared".
The square of 504 534 is 254 554 557 156 because 504 534 × 504 534 = 504 5342 = 254 554 557 156.
As a consequence, 504 534 is the square root of 254 554 557 156.
The multiples of 504 534 are all integers evenly divisible by 504 534, that is all numbers such that the remainder of the division by 504 534 is zero. There are infinitely many multiples of 504 534. The smallest multiples of 504 534 are: