Is 20509 a prime number?

20 509 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 20 509 is about 143.210.

Thus, the square root of 20 509 is not an integer, and therefore 20 509 is not a square number.

Anyway, 20 509 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 20 509) is the result of the product of this number (20 509) by itself (i.e., 20 509 × 20 509); the square of 20 509 is sometimes called "raising 20 509 to the power 2", or "20 509 squared".

The square of 20 509 is 420 619 081 because 20 509 × 20 509 = 20 509² = 420 619 081.

As a consequence, 20 509 is the square root of 420 619 081.

20 509 is a number with 5 digits.

The multiples of 20 509 are all integers evenly divisible by 20 509, that is all numbers such that the remainder of the division by 20 509 is zero. There are infinitely many multiples of 20 509. The smallest multiples of 20 509 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 20 509 too, since 0 × 20 509 = 0
• 20 509: indeed, 20 509 is a multiple of itself, since 20 509 is evenly divisible by 20 509 (we have 20 509 / 20 509 = 1, so the remainder of this division is indeed zero)
• 41 018: indeed, 41 018 = 20 509 × 2
• 61 527: indeed, 61 527 = 20 509 × 3
• 82 036: indeed, 82 036 = 20 509 × 4
• 102 545: indeed, 102 545 = 20 509 × 5
• etc.

• Preceding numbers: …20 507, 20 508
• Following numbers: 20 510, 20 511…

Nearest numbers from 20 509

• Preceding prime number: 20 507
• Following prime number: 20 521

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• 20 509 est-il un nombre premier ?