It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 242 138 is not a prime number.
For example, 509 242 138 can be divided by 2: 509 242 138 / 2 = 254 621 069.
For 509 242 138 to be a prime number, it would have been required that 509 242 138 has only two divisors, i.e., itself and 1.
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509 242 138 is an even number, because it is evenly divisible by 2: 509 242 138 / 2 = 254 621 069.
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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 509 242 138 is about 22 566.394.
Thus, the square root of 509 242 138 is not an integer, and therefore 509 242 138 is not a square number.
The square of a number (here 509 242 138) is the result of the product of this number (509 242 138) by itself (i.e., 509 242 138 × 509 242 138); the square of 509 242 138 is sometimes called "raising 509 242 138 to the power 2", or "509 242 138 squared".
The square of 509 242 138 is 259 327 555 114 811 040 because 509 242 138 × 509 242 138 = 509 242 1382 = 259 327 555 114 811 040.
As a consequence, 509 242 138 is the square root of 259 327 555 114 811 040.
509 242 138 is a number with 9 digits.
The multiples of 509 242 138 are all integers evenly divisible by 509 242 138, that is all numbers such that the remainder of the division by 509 242 138 is zero. There are infinitely many multiples of 509 242 138. The smallest multiples of 509 242 138 are: