Is 528001 a prime number?

528 001 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 528 001 is about 726.637.

Thus, the square root of 528 001 is not an integer, and therefore 528 001 is not a square number.

Anyway, 528 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 528 001) is the result of the product of this number (528 001) by itself (i.e., 528 001 × 528 001); the square of 528 001 is sometimes called "raising 528 001 to the power 2", or "528 001 squared".

The square of 528 001 is 278 785 056 001 because 528 001 × 528 001 = 528 001² = 278 785 056 001.

As a consequence, 528 001 is the square root of 278 785 056 001.

528 001 is a number with 6 digits.

The multiples of 528 001 are all integers evenly divisible by 528 001, that is all numbers such that the remainder of the division by 528 001 is zero. There are infinitely many multiples of 528 001. The smallest multiples of 528 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 528 001 too, since 0 × 528 001 = 0
• 528 001: indeed, 528 001 is a multiple of itself, since 528 001 is evenly divisible by 528 001 (we have 528 001 / 528 001 = 1, so the remainder of this division is indeed zero)
• 1 056 002: indeed, 1 056 002 = 528 001 × 2
• 1 584 003: indeed, 1 584 003 = 528 001 × 3
• 2 112 004: indeed, 2 112 004 = 528 001 × 4
• 2 640 005: indeed, 2 640 005 = 528 001 × 5
• etc.

• Preceding numbers: …527 999, 528 000
• Following numbers: 528 002, 528 003…

Nearest numbers from 528 001

• Preceding prime number: 527 993
• Following prime number: 528 013

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• 528 001 est-il un nombre premier ?