Is 513201 a prime number?

513 201 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 513 201 is about 716.380.

Thus, the square root of 513 201 is not an integer, and therefore 513 201 is not a square number.

The square of a number (here 513 201) is the result of the product of this number (513 201) by itself (i.e., 513 201 × 513 201); the square of 513 201 is sometimes called "raising 513 201 to the power 2", or "513 201 squared".

The square of 513 201 is 263 375 266 401 because 513 201 × 513 201 = 513 201² = 263 375 266 401.

As a consequence, 513 201 is the square root of 263 375 266 401.

513 201 is a number with 6 digits.

The multiples of 513 201 are all integers evenly divisible by 513 201, that is all numbers such that the remainder of the division by 513 201 is zero. There are infinitely many multiples of 513 201. The smallest multiples of 513 201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 513 201 too, since 0 × 513 201 = 0
• 513 201: indeed, 513 201 is a multiple of itself, since 513 201 is evenly divisible by 513 201 (we have 513 201 / 513 201 = 1, so the remainder of this division is indeed zero)
• 1 026 402: indeed, 1 026 402 = 513 201 × 2
• 1 539 603: indeed, 1 539 603 = 513 201 × 3
• 2 052 804: indeed, 2 052 804 = 513 201 × 4
• 2 566 005: indeed, 2 566 005 = 513 201 × 5
• etc.

• Preceding numbers: …513 199, 513 200
• Following numbers: 513 202, 513 203…

Nearest numbers from 513 201

• Preceding prime number: 513 173
• Following prime number: 513 203