Is 531441007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 531 441 007 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 531 441 007, the only two divisors are 1 and 531 441 007. Therefore 531 441 007 is a prime number.
As a consequence, 531 441 007 is only a multiple of 1 and 531 441 007.
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Since 531441007 is a prime number, 531441007 is also a deficient number, that is to say 531441007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 531441007 without 531441007 itself (that is 1, by definition!).