It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 164 is not a prime number.
For example, 500 164 can be divided by 2: 500 164 / 2 = 250 082.
For 500 164 to be a prime number, it would have been required that 500 164 has only two divisors, i.e., itself and 1.
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500 164 is an even number, because it is evenly divisible by 2: 500 164 / 2 = 250 082.
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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 500 164 is about 707.223.
Thus, the square root of 500 164 is not an integer, and therefore 500 164 is not a square number.
The square of a number (here 500 164) is the result of the product of this number (500 164) by itself (i.e., 500 164 × 500 164); the square of 500 164 is sometimes called "raising 500 164 to the power 2", or "500 164 squared".
The square of 500 164 is 250 164 026 896 because 500 164 × 500 164 = 500 1642 = 250 164 026 896.
As a consequence, 500 164 is the square root of 250 164 026 896.
The multiples of 500 164 are all integers evenly divisible by 500 164, that is all numbers such that the remainder of the division by 500 164 is zero. There are infinitely many multiples of 500 164. The smallest multiples of 500 164 are: