It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 523 264 338 is not a prime number.
For example, 523 264 338 can be divided by 2: 523 264 338 / 2 = 261 632 169.
For 523 264 338 to be a prime number, it would have been required that 523 264 338 has only two divisors, i.e., itself and 1.
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523 264 338 is an even number, because it is evenly divisible by 2: 523 264 338 / 2 = 261 632 169.
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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 523 264 338 is about 22 874.972.
Thus, the square root of 523 264 338 is not an integer, and therefore 523 264 338 is not a square number.
The square of a number (here 523 264 338) is the result of the product of this number (523 264 338) by itself (i.e., 523 264 338 × 523 264 338); the square of 523 264 338 is sometimes called "raising 523 264 338 to the power 2", or "523 264 338 squared".
The square of 523 264 338 is 273 805 567 422 578 240 because 523 264 338 × 523 264 338 = 523 264 3382 = 273 805 567 422 578 240.
As a consequence, 523 264 338 is the square root of 273 805 567 422 578 240.
523 264 338 is a number with 9 digits.
The multiples of 523 264 338 are all integers evenly divisible by 523 264 338, that is all numbers such that the remainder of the division by 523 264 338 is zero. There are infinitely many multiples of 523 264 338. The smallest multiples of 523 264 338 are: