Is 509801 a prime number?

509 801 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 509 801 is about 714.004.

Thus, the square root of 509 801 is not an integer, and therefore 509 801 is not a square number.

Anyway, 509 801 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 509 801) is the result of the product of this number (509 801) by itself (i.e., 509 801 × 509 801); the square of 509 801 is sometimes called "raising 509 801 to the power 2", or "509 801 squared".

The square of 509 801 is 259 897 059 601 because 509 801 × 509 801 = 509 801² = 259 897 059 601.

As a consequence, 509 801 is the square root of 259 897 059 601.

509 801 is a number with 6 digits.

The multiples of 509 801 are all integers evenly divisible by 509 801, that is all numbers such that the remainder of the division by 509 801 is zero. There are infinitely many multiples of 509 801. The smallest multiples of 509 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 509 801 too, since 0 × 509 801 = 0
• 509 801: indeed, 509 801 is a multiple of itself, since 509 801 is evenly divisible by 509 801 (we have 509 801 / 509 801 = 1, so the remainder of this division is indeed zero)
• 1 019 602: indeed, 1 019 602 = 509 801 × 2
• 1 529 403: indeed, 1 529 403 = 509 801 × 3
• 2 039 204: indeed, 2 039 204 = 509 801 × 4
• 2 549 005: indeed, 2 549 005 = 509 801 × 5
• etc.

• Preceding numbers: …509 799, 509 800
• Following numbers: 509 802, 509 803…

Nearest numbers from 509 801

• Preceding prime number: 509 797
• Following prime number: 509 833

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• 509 801 est-il un nombre premier ?