Is 528009353 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 528 009 353 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 528 009 353, the only two divisors are 1 and 528 009 353. Therefore 528 009 353 is a prime number.
As a consequence, 528 009 353 is only a multiple of 1 and 528 009 353.
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Since 528009353 is a prime number, 528009353 is also a deficient number, that is to say 528009353 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 528009353 without 528009353 itself (that is 1, by definition!).