It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 511 264 is not a prime number.
For example, 511 264 can be divided by 2: 511 264 / 2 = 255 632.
For 511 264 to be a prime number, it would have been required that 511 264 has only two divisors, i.e., itself and 1.
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511 264 is an even number, because it is evenly divisible by 2: 511 264 / 2 = 255 632.
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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 511 264 is about 715.027.
Thus, the square root of 511 264 is not an integer, and therefore 511 264 is not a square number.
The square of a number (here 511 264) is the result of the product of this number (511 264) by itself (i.e., 511 264 × 511 264); the square of 511 264 is sometimes called "raising 511 264 to the power 2", or "511 264 squared".
The square of 511 264 is 261 390 877 696 because 511 264 × 511 264 = 511 2642 = 261 390 877 696.
As a consequence, 511 264 is the square root of 261 390 877 696.
The multiples of 511 264 are all integers evenly divisible by 511 264, that is all numbers such that the remainder of the division by 511 264 is zero. There are infinitely many multiples of 511 264. The smallest multiples of 511 264 are: