It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 563 is not a prime number.
For example, 505 563 can be divided by 3: 505 563 / 3 = 168 521.
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For 505 563 to be a prime number, it would have been required that 505 563 has only two divisors, i.e., itself and 1.
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505 563 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 505 563 is about 711.030.
Thus, the square root of 505 563 is not an integer, and therefore 505 563 is not a square number.
The square of a number (here 505 563) is the result of the product of this number (505 563) by itself (i.e., 505 563 × 505 563); the square of 505 563 is sometimes called "raising 505 563 to the power 2", or "505 563 squared".
The square of 505 563 is 255 593 946 969 because 505 563 × 505 563 = 505 5632 = 255 593 946 969.
As a consequence, 505 563 is the square root of 255 593 946 969.
The multiples of 505 563 are all integers evenly divisible by 505 563, that is all numbers such that the remainder of the division by 505 563 is zero. There are infinitely many multiples of 505 563. The smallest multiples of 505 563 are: