Is 50513 a prime number?

50 513 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 50 513 is about 224.751.

Thus, the square root of 50 513 is not an integer, and therefore 50 513 is not a square number.

Anyway, 50 513 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 50 513) is the result of the product of this number (50 513) by itself (i.e., 50 513 × 50 513); the square of 50 513 is sometimes called "raising 50 513 to the power 2", or "50 513 squared".

The square of 50 513 is 2 551 563 169 because 50 513 × 50 513 = 50 513² = 2 551 563 169.

As a consequence, 50 513 is the square root of 2 551 563 169.

50 513 is a number with 5 digits.

The multiples of 50 513 are all integers evenly divisible by 50 513, that is all numbers such that the remainder of the division by 50 513 is zero. There are infinitely many multiples of 50 513. The smallest multiples of 50 513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 50 513 too, since 0 × 50 513 = 0
• 50 513: indeed, 50 513 is a multiple of itself, since 50 513 is evenly divisible by 50 513 (we have 50 513 / 50 513 = 1, so the remainder of this division is indeed zero)
• 101 026: indeed, 101 026 = 50 513 × 2
• 151 539: indeed, 151 539 = 50 513 × 3
• 202 052: indeed, 202 052 = 50 513 × 4
• 252 565: indeed, 252 565 = 50 513 × 5
• etc.

• Preceding numbers: …50 511, 50 512
• Following numbers: 50 514, 50 515…

Nearest numbers from 50 513

• Preceding prime number: 50 503
• Following prime number: 50 527

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• 50 513 est-il un nombre premier ?