It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 533 563 is not a prime number.
For example, 533 563 can be divided by 131: 533 563 / 131 = 4 073.
For 533 563 to be a prime number, it would have been required that 533 563 has only two divisors, i.e., itself and 1.
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533 563 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 533 563 is about 730.454.
Thus, the square root of 533 563 is not an integer, and therefore 533 563 is not a square number.
The square of a number (here 533 563) is the result of the product of this number (533 563) by itself (i.e., 533 563 × 533 563); the square of 533 563 is sometimes called "raising 533 563 to the power 2", or "533 563 squared".
The square of 533 563 is 284 689 474 969 because 533 563 × 533 563 = 533 5632 = 284 689 474 969.
As a consequence, 533 563 is the square root of 284 689 474 969.
The multiples of 533 563 are all integers evenly divisible by 533 563, that is all numbers such that the remainder of the division by 533 563 is zero. There are infinitely many multiples of 533 563. The smallest multiples of 533 563 are: