It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 258 is not a prime number.
For example, 505 258 can be divided by 2: 505 258 / 2 = 252 629.
For 505 258 to be a prime number, it would have been required that 505 258 has only two divisors, i.e., itself and 1.
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505 258 is an even number, because it is evenly divisible by 2: 505 258 / 2 = 252 629.
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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 505 258 is about 710.815.
Thus, the square root of 505 258 is not an integer, and therefore 505 258 is not a square number.
The square of a number (here 505 258) is the result of the product of this number (505 258) by itself (i.e., 505 258 × 505 258); the square of 505 258 is sometimes called "raising 505 258 to the power 2", or "505 258 squared".
The square of 505 258 is 255 285 646 564 because 505 258 × 505 258 = 505 2582 = 255 285 646 564.
As a consequence, 505 258 is the square root of 255 285 646 564.
The multiples of 505 258 are all integers evenly divisible by 505 258, that is all numbers such that the remainder of the division by 505 258 is zero. There are infinitely many multiples of 505 258. The smallest multiples of 505 258 are: