Is 113513 a prime number?

113 513 is an odd number, because it is not evenly divisible by 2.

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• 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 113 513 is about 336.917.

Thus, the square root of 113 513 is not an integer, and therefore 113 513 is not a square number.

Anyway, 113 513 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 113 513) is the result of the product of this number (113 513) by itself (i.e., 113 513 × 113 513); the square of 113 513 is sometimes called "raising 113 513 to the power 2", or "113 513 squared".

The square of 113 513 is 12 885 201 169 because 113 513 × 113 513 = 113 513² = 12 885 201 169.

As a consequence, 113 513 is the square root of 12 885 201 169.

113 513 is a number with 6 digits.

The multiples of 113 513 are all integers evenly divisible by 113 513, that is all numbers such that the remainder of the division by 113 513 is zero. There are infinitely many multiples of 113 513. The smallest multiples of 113 513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 113 513 too, since 0 × 113 513 = 0
• 113 513: indeed, 113 513 is a multiple of itself, since 113 513 is evenly divisible by 113 513 (we have 113 513 / 113 513 = 1, so the remainder of this division is indeed zero)
• 227 026: indeed, 227 026 = 113 513 × 2
• 340 539: indeed, 340 539 = 113 513 × 3
• 454 052: indeed, 454 052 = 113 513 × 4
• 567 565: indeed, 567 565 = 113 513 × 5
• etc.

• Preceding numbers: …113 511, 113 512
• Following numbers: 113 514, 113 515…

Nearest numbers from 113 513

• Preceding prime number: 113 501
• Following prime number: 113 537

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• 113 513 est-il un nombre premier ?