It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 585 477 is not a prime number.
For example, 509 585 477 can be divided by 29: 509 585 477 / 29 = 17 571 913.
For 509 585 477 to be a prime number, it would have been required that 509 585 477 has only two divisors, i.e., itself and 1.
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509 585 477 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 509 585 477 is about 22 574.000.
Thus, the square root of 509 585 477 is not an integer, and therefore 509 585 477 is not a square number.
The square of a number (here 509 585 477) is the result of the product of this number (509 585 477) by itself (i.e., 509 585 477 × 509 585 477); the square of 509 585 477 is sometimes called "raising 509 585 477 to the power 2", or "509 585 477 squared".
The square of 509 585 477 is 259 677 358 369 317 536 because 509 585 477 × 509 585 477 = 509 585 4772 = 259 677 358 369 317 536.
As a consequence, 509 585 477 is the square root of 259 677 358 369 317 536.
509 585 477 is a number with 9 digits.
The multiples of 509 585 477 are all integers evenly divisible by 509 585 477, that is all numbers such that the remainder of the division by 509 585 477 is zero. There are infinitely many multiples of 509 585 477. The smallest multiples of 509 585 477 are: