It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 497 263 is not a prime number.
For example, 497 263 can be divided by 13: 497 263 / 13 = 38 251.
For 497 263 to be a prime number, it would have been required that 497 263 has only two divisors, i.e., itself and 1.
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497 263 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 497 263 is about 705.169.
Thus, the square root of 497 263 is not an integer, and therefore 497 263 is not a square number.
The square of a number (here 497 263) is the result of the product of this number (497 263) by itself (i.e., 497 263 × 497 263); the square of 497 263 is sometimes called "raising 497 263 to the power 2", or "497 263 squared".
The square of 497 263 is 247 270 491 169 because 497 263 × 497 263 = 497 2632 = 247 270 491 169.
As a consequence, 497 263 is the square root of 247 270 491 169.
The multiples of 497 263 are all integers evenly divisible by 497 263, that is all numbers such that the remainder of the division by 497 263 is zero. There are infinitely many multiples of 497 263. The smallest multiples of 497 263 are: