It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 121 is not a prime number.
For example, 509 121 can be divided by 3: 509 121 / 3 = 169 707.
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For 509 121 to be a prime number, it would have been required that 509 121 has only two divisors, i.e., itself and 1.
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509 121 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 509 121 is about 713.527.
Thus, the square root of 509 121 is not an integer, and therefore 509 121 is not a square number.
The square of a number (here 509 121) is the result of the product of this number (509 121) by itself (i.e., 509 121 × 509 121); the square of 509 121 is sometimes called "raising 509 121 to the power 2", or "509 121 squared".
The square of 509 121 is 259 204 192 641 because 509 121 × 509 121 = 509 1212 = 259 204 192 641.
As a consequence, 509 121 is the square root of 259 204 192 641.
The multiples of 509 121 are all integers evenly divisible by 509 121, that is all numbers such that the remainder of the division by 509 121 is zero. There are infinitely many multiples of 509 121. The smallest multiples of 509 121 are: