It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 262 is not a prime number.
For example, 505 262 can be divided by 2: 505 262 / 2 = 252 631.
For 505 262 to be a prime number, it would have been required that 505 262 has only two divisors, i.e., itself and 1.
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505 262 is an even number, because it is evenly divisible by 2: 505 262 / 2 = 252 631.
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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 505 262 is about 710.818.
Thus, the square root of 505 262 is not an integer, and therefore 505 262 is not a square number.
The square of a number (here 505 262) is the result of the product of this number (505 262) by itself (i.e., 505 262 × 505 262); the square of 505 262 is sometimes called "raising 505 262 to the power 2", or "505 262 squared".
The square of 505 262 is 255 289 688 644 because 505 262 × 505 262 = 505 2622 = 255 289 688 644.
As a consequence, 505 262 is the square root of 255 289 688 644.
The multiples of 505 262 are all integers evenly divisible by 505 262, that is all numbers such that the remainder of the division by 505 262 is zero. There are infinitely many multiples of 505 262. The smallest multiples of 505 262 are: