It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 502 502 is not a prime number.
For example, 502 502 can be divided by 2: 502 502 / 2 = 251 251.
For 502 502 to be a prime number, it would have been required that 502 502 has only two divisors, i.e., itself and 1.
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502 502 is an even number, because it is evenly divisible by 2: 502 502 / 2 = 251 251.
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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 502 502 is about 708.874.
Thus, the square root of 502 502 is not an integer, and therefore 502 502 is not a square number.
The square of a number (here 502 502) is the result of the product of this number (502 502) by itself (i.e., 502 502 × 502 502); the square of 502 502 is sometimes called "raising 502 502 to the power 2", or "502 502 squared".
The square of 502 502 is 252 508 260 004 because 502 502 × 502 502 = 502 5022 = 252 508 260 004.
As a consequence, 502 502 is the square root of 252 508 260 004.
The multiples of 502 502 are all integers evenly divisible by 502 502, that is all numbers such that the remainder of the division by 502 502 is zero. There are infinitely many multiples of 502 502. The smallest multiples of 502 502 are: