Is 137522519 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 137 522 519 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 137 522 519, the only two divisors are 1 and 137 522 519. Therefore 137 522 519 is a prime number.
As a consequence, 137 522 519 is only a multiple of 1 and 137 522 519.
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Since 137522519 is a prime number, 137522519 is also a deficient number, that is to say 137522519 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 137522519 without 137522519 itself (that is 1, by definition!).