Is 163521409 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 163 521 409 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 163 521 409, the only two divisors are 1 and 163 521 409. Therefore 163 521 409 is a prime number.
As a consequence, 163 521 409 is only a multiple of 1 and 163 521 409.
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Since 163521409 is a prime number, 163521409 is also a deficient number, that is to say 163521409 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 163521409 without 163521409 itself (that is 1, by definition!).
