It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 802 is not a prime number.
For example, 509 802 can be divided by 2: 509 802 / 2 = 254 901.
For 509 802 to be a prime number, it would have been required that 509 802 has only two divisors, i.e., itself and 1.
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509 802 is an even number, because it is evenly divisible by 2: 509 802 / 2 = 254 901.
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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 509 802 is about 714.004.
Thus, the square root of 509 802 is not an integer, and therefore 509 802 is not a square number.
The square of a number (here 509 802) is the result of the product of this number (509 802) by itself (i.e., 509 802 × 509 802); the square of 509 802 is sometimes called "raising 509 802 to the power 2", or "509 802 squared".
The square of 509 802 is 259 898 079 204 because 509 802 × 509 802 = 509 8022 = 259 898 079 204.
As a consequence, 509 802 is the square root of 259 898 079 204.
The multiples of 509 802 are all integers evenly divisible by 509 802, that is all numbers such that the remainder of the division by 509 802 is zero. There are infinitely many multiples of 509 802. The smallest multiples of 509 802 are: