It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 263 264 263 is not a prime number.
For example, 263 264 263 can be divided by 1 889: 263 264 263 / 1889 = 139 367.
For 263 264 263 to be a prime number, it would have been required that 263 264 263 has only two divisors, i.e., itself and 1.
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263 264 263 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 263 264 263 is about 16 225.420.
Thus, the square root of 263 264 263 is not an integer, and therefore 263 264 263 is not a square number.
The square of a number (here 263 264 263) is the result of the product of this number (263 264 263) by itself (i.e., 263 264 263 × 263 264 263); the square of 263 264 263 is sometimes called "raising 263 264 263 to the power 2", or "263 264 263 squared".
The square of 263 264 263 is 69 308 072 172 933 168 because 263 264 263 × 263 264 263 = 263 264 2632 = 69 308 072 172 933 168.
As a consequence, 263 264 263 is the square root of 69 308 072 172 933 168.
263 264 263 is a number with 9 digits.
The multiples of 263 264 263 are all integers evenly divisible by 263 264 263, that is all numbers such that the remainder of the division by 263 264 263 is zero. There are infinitely many multiples of 263 264 263. The smallest multiples of 263 264 263 are: