It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 501 264 is not a prime number.
For example, 501 264 can be divided by 2: 501 264 / 2 = 250 632.
For 501 264 to be a prime number, it would have been required that 501 264 has only two divisors, i.e., itself and 1.
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501 264 is an even number, because it is evenly divisible by 2: 501 264 / 2 = 250 632.
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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 501 264 is 708.
Therefore, the square root of 501 264 is an integer, and as a consequence 501 264 is a perfect square.
The square of a number (here 501 264) is the result of the product of this number (501 264) by itself (i.e., 501 264 × 501 264); the square of 501 264 is sometimes called "raising 501 264 to the power 2", or "501 264 squared".
The square of 501 264 is 251 265 597 696 because 501 264 × 501 264 = 501 2642 = 251 265 597 696.
As a consequence, 501 264 is the square root of 251 265 597 696.
The multiples of 501 264 are all integers evenly divisible by 501 264, that is all numbers such that the remainder of the division by 501 264 is zero. There are infinitely many multiples of 501 264. The smallest multiples of 501 264 are: