Is 42525589 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 525 589 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 42 525 589, the only two divisors are 1 and 42 525 589. Therefore 42 525 589 is a prime number.
As a consequence, 42 525 589 is only a multiple of 1 and 42 525 589.
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Since 42525589 is a prime number, 42525589 is also a deficient number, that is to say 42525589 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42525589 without 42525589 itself (that is 1, by definition!).