# Is 125503811 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

Yes, 125 503 811 is a prime number.

Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 125 503 811, the only two divisors are 1 and 125 503 811. Therefore 125 503 811 is a prime number.

As a consequence, 125 503 811 is only a multiple of 1 and 125 503 811.

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Since 125503811 is a prime number, 125503811 is also a deficient number, that is to say 125503811 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 125503811 without 125503811 itself (that is 1, by definition!).