It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 511 138 is not a prime number.
For example, 511 138 can be divided by 2: 511 138 / 2 = 255 569.
For 511 138 to be a prime number, it would have been required that 511 138 has only two divisors, i.e., itself and 1.
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511 138 is an even number, because it is evenly divisible by 2: 511 138 / 2 = 255 569.
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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 511 138 is about 714.939.
Thus, the square root of 511 138 is not an integer, and therefore 511 138 is not a square number.
The square of a number (here 511 138) is the result of the product of this number (511 138) by itself (i.e., 511 138 × 511 138); the square of 511 138 is sometimes called "raising 511 138 to the power 2", or "511 138 squared".
The square of 511 138 is 261 262 055 044 because 511 138 × 511 138 = 511 1382 = 261 262 055 044.
As a consequence, 511 138 is the square root of 261 262 055 044.
The multiples of 511 138 are all integers evenly divisible by 511 138, that is all numbers such that the remainder of the division by 511 138 is zero. There are infinitely many multiples of 511 138. The smallest multiples of 511 138 are: