It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 491 is not a prime number.
For example, 509 491 can be divided by 577: 509 491 / 577 = 883.
For 509 491 to be a prime number, it would have been required that 509 491 has only two divisors, i.e., itself and 1.
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509 491 is an odd number, because it is not evenly divisible by 2.
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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 509 491 is about 713.786.
Thus, the square root of 509 491 is not an integer, and therefore 509 491 is not a square number.
The square of a number (here 509 491) is the result of the product of this number (509 491) by itself (i.e., 509 491 × 509 491); the square of 509 491 is sometimes called "raising 509 491 to the power 2", or "509 491 squared".
The square of 509 491 is 259 581 079 081 because 509 491 × 509 491 = 509 4912 = 259 581 079 081.
As a consequence, 509 491 is the square root of 259 581 079 081.
The multiples of 509 491 are all integers evenly divisible by 509 491, that is all numbers such that the remainder of the division by 509 491 is zero. There are infinitely many multiples of 509 491. The smallest multiples of 509 491 are: