It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 242 563 is not a prime number.
For example, 509 242 563 can be divided by 3: 509 242 563 / 3 = 169 747 521.
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For 509 242 563 to be a prime number, it would have been required that 509 242 563 has only two divisors, i.e., itself and 1.
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509 242 563 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 509 242 563 is about 22 566.403.
Thus, the square root of 509 242 563 is not an integer, and therefore 509 242 563 is not a square number.
The square of a number (here 509 242 563) is the result of the product of this number (509 242 563) by itself (i.e., 509 242 563 × 509 242 563); the square of 509 242 563 is sometimes called "raising 509 242 563 to the power 2", or "509 242 563 squared".
The square of 509 242 563 is 259 327 987 970 808 960 because 509 242 563 × 509 242 563 = 509 242 5632 = 259 327 987 970 808 960.
As a consequence, 509 242 563 is the square root of 259 327 987 970 808 960.
509 242 563 is a number with 9 digits.
The multiples of 509 242 563 are all integers evenly divisible by 509 242 563, that is all numbers such that the remainder of the division by 509 242 563 is zero. There are infinitely many multiples of 509 242 563. The smallest multiples of 509 242 563 are: