It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 502 638 is not a prime number.
For example, 502 638 can be divided by 2: 502 638 / 2 = 251 319.
For 502 638 to be a prime number, it would have been required that 502 638 has only two divisors, i.e., itself and 1.
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502 638 is an even number, because it is evenly divisible by 2: 502 638 / 2 = 251 319.
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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 502 638 is about 708.970.
Thus, the square root of 502 638 is not an integer, and therefore 502 638 is not a square number.
The square of a number (here 502 638) is the result of the product of this number (502 638) by itself (i.e., 502 638 × 502 638); the square of 502 638 is sometimes called "raising 502 638 to the power 2", or "502 638 squared".
The square of 502 638 is 252 644 959 044 because 502 638 × 502 638 = 502 6382 = 252 644 959 044.
As a consequence, 502 638 is the square root of 252 644 959 044.
The multiples of 502 638 are all integers evenly divisible by 502 638, that is all numbers such that the remainder of the division by 502 638 is zero. There are infinitely many multiples of 502 638. The smallest multiples of 502 638 are: