It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 241 is not a prime number.
For example, 509 241 can be divided by 3: 509 241 / 3 = 169 747.
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For 509 241 to be a prime number, it would have been required that 509 241 has only two divisors, i.e., itself and 1.
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509 241 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 509 241 is about 713.611.
Thus, the square root of 509 241 is not an integer, and therefore 509 241 is not a square number.
The square of a number (here 509 241) is the result of the product of this number (509 241) by itself (i.e., 509 241 × 509 241); the square of 509 241 is sometimes called "raising 509 241 to the power 2", or "509 241 squared".
The square of 509 241 is 259 326 396 081 because 509 241 × 509 241 = 509 2412 = 259 326 396 081.
As a consequence, 509 241 is the square root of 259 326 396 081.
The multiples of 509 241 are all integers evenly divisible by 509 241, that is all numbers such that the remainder of the division by 509 241 is zero. There are infinitely many multiples of 509 241. The smallest multiples of 509 241 are: