It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 504 is not a prime number.
For example, 505 504 can be divided by 2: 505 504 / 2 = 252 752.
For 505 504 to be a prime number, it would have been required that 505 504 has only two divisors, i.e., itself and 1.
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505 504 is an even number, because it is evenly divisible by 2: 505 504 / 2 = 252 752.
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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 505 504 is about 710.988.
Thus, the square root of 505 504 is not an integer, and therefore 505 504 is not a square number.
The square of a number (here 505 504) is the result of the product of this number (505 504) by itself (i.e., 505 504 × 505 504); the square of 505 504 is sometimes called "raising 505 504 to the power 2", or "505 504 squared".
The square of 505 504 is 255 534 294 016 because 505 504 × 505 504 = 505 5042 = 255 534 294 016.
As a consequence, 505 504 is the square root of 255 534 294 016.
The multiples of 505 504 are all integers evenly divisible by 505 504, that is all numbers such that the remainder of the division by 505 504 is zero. There are infinitely many multiples of 505 504. The smallest multiples of 505 504 are: