Is 512137 a prime number?

512 137 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

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 512 137 is about 715.637.

Thus, the square root of 512 137 is not an integer, and therefore 512 137 is not a square number.

Anyway, 512 137 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 512 137) is the result of the product of this number (512 137) by itself (i.e., 512 137 × 512 137); the square of 512 137 is sometimes called "raising 512 137 to the power 2", or "512 137 squared".

The square of 512 137 is 262 284 306 769 because 512 137 × 512 137 = 512 137² = 262 284 306 769.

As a consequence, 512 137 is the square root of 262 284 306 769.

512 137 is a number with 6 digits.

The multiples of 512 137 are all integers evenly divisible by 512 137, that is all numbers such that the remainder of the division by 512 137 is zero. There are infinitely many multiples of 512 137. The smallest multiples of 512 137 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 512 137 too, since 0 × 512 137 = 0
• 512 137: indeed, 512 137 is a multiple of itself, since 512 137 is evenly divisible by 512 137 (we have 512 137 / 512 137 = 1, so the remainder of this division is indeed zero)
• 1 024 274: indeed, 1 024 274 = 512 137 × 2
• 1 536 411: indeed, 1 536 411 = 512 137 × 3
• 2 048 548: indeed, 2 048 548 = 512 137 × 4
• 2 560 685: indeed, 2 560 685 = 512 137 × 5
• etc.

• Preceding numbers: …512 135, 512 136
• Following numbers: 512 138, 512 139…

Nearest numbers from 512 137

• Preceding prime number: 512 101
• Following prime number: 512 147