It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 264 is not a prime number.
For example, 500 264 can be divided by 2: 500 264 / 2 = 250 132.
For 500 264 to be a prime number, it would have been required that 500 264 has only two divisors, i.e., itself and 1.
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500 264 is an even number, because it is evenly divisible by 2: 500 264 / 2 = 250 132.
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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 500 264 is about 707.293.
Thus, the square root of 500 264 is not an integer, and therefore 500 264 is not a square number.
The square of a number (here 500 264) is the result of the product of this number (500 264) by itself (i.e., 500 264 × 500 264); the square of 500 264 is sometimes called "raising 500 264 to the power 2", or "500 264 squared".
The square of 500 264 is 250 264 069 696 because 500 264 × 500 264 = 500 2642 = 250 264 069 696.
As a consequence, 500 264 is the square root of 250 264 069 696.
The multiples of 500 264 are all integers evenly divisible by 500 264, that is all numbers such that the remainder of the division by 500 264 is zero. There are infinitely many multiples of 500 264. The smallest multiples of 500 264 are: