It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 498 is not a prime number.
For example, 509 498 can be divided by 2: 509 498 / 2 = 254 749.
For 509 498 to be a prime number, it would have been required that 509 498 has only two divisors, i.e., itself and 1.
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509 498 is an even number, because it is evenly divisible by 2: 509 498 / 2 = 254 749.
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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 509 498 is about 713.791.
Thus, the square root of 509 498 is not an integer, and therefore 509 498 is not a square number.
The square of a number (here 509 498) is the result of the product of this number (509 498) by itself (i.e., 509 498 × 509 498); the square of 509 498 is sometimes called "raising 509 498 to the power 2", or "509 498 squared".
The square of 509 498 is 259 588 212 004 because 509 498 × 509 498 = 509 4982 = 259 588 212 004.
As a consequence, 509 498 is the square root of 259 588 212 004.
The multiples of 509 498 are all integers evenly divisible by 509 498, that is all numbers such that the remainder of the division by 509 498 is zero. There are infinitely many multiples of 509 498. The smallest multiples of 509 498 are: