It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 702 is not a prime number.
For example, 509 702 can be divided by 2: 509 702 / 2 = 254 851.
For 509 702 to be a prime number, it would have been required that 509 702 has only two divisors, i.e., itself and 1.
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509 702 is an even number, because it is evenly divisible by 2: 509 702 / 2 = 254 851.
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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 509 702 is about 713.934.
Thus, the square root of 509 702 is not an integer, and therefore 509 702 is not a square number.
The square of a number (here 509 702) is the result of the product of this number (509 702) by itself (i.e., 509 702 × 509 702); the square of 509 702 is sometimes called "raising 509 702 to the power 2", or "509 702 squared".
The square of 509 702 is 259 796 128 804 because 509 702 × 509 702 = 509 7022 = 259 796 128 804.
As a consequence, 509 702 is the square root of 259 796 128 804.
The multiples of 509 702 are all integers evenly divisible by 509 702, that is all numbers such that the remainder of the division by 509 702 is zero. There are infinitely many multiples of 509 702. The smallest multiples of 509 702 are: