It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 121 is not a prime number.
For example, 512 121 can be divided by 3: 512 121 / 3 = 170 707.
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For 512 121 to be a prime number, it would have been required that 512 121 has only two divisors, i.e., itself and 1.
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512 121 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 512 121 is about 715.626.
Thus, the square root of 512 121 is not an integer, and therefore 512 121 is not a square number.
The square of a number (here 512 121) is the result of the product of this number (512 121) by itself (i.e., 512 121 × 512 121); the square of 512 121 is sometimes called "raising 512 121 to the power 2", or "512 121 squared".
The square of 512 121 is 262 267 918 641 because 512 121 × 512 121 = 512 1212 = 262 267 918 641.
As a consequence, 512 121 is the square root of 262 267 918 641.
The multiples of 512 121 are all integers evenly divisible by 512 121, that is all numbers such that the remainder of the division by 512 121 is zero. There are infinitely many multiples of 512 121. The smallest multiples of 512 121 are: