It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 709 is not a prime number.
For example, 504 709 can be divided by 139: 504 709 / 139 = 3 631.
For 504 709 to be a prime number, it would have been required that 504 709 has only two divisors, i.e., itself and 1.
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504 709 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 504 709 is about 710.429.
Thus, the square root of 504 709 is not an integer, and therefore 504 709 is not a square number.
The square of a number (here 504 709) is the result of the product of this number (504 709) by itself (i.e., 504 709 × 504 709); the square of 504 709 is sometimes called "raising 504 709 to the power 2", or "504 709 squared".
The square of 504 709 is 254 731 174 681 because 504 709 × 504 709 = 504 7092 = 254 731 174 681.
As a consequence, 504 709 is the square root of 254 731 174 681.
The multiples of 504 709 are all integers evenly divisible by 504 709, that is all numbers such that the remainder of the division by 504 709 is zero. There are infinitely many multiples of 504 709. The smallest multiples of 504 709 are: