900116013 has 16 divisors (see below), whose sum is σ = 1287161280. Its totient is φ = 557766144.

The previous prime is 900115987. The next prime is 900116027. The reversal of 900116013 is 310611009.

It is a happy number.

It is not a de Polignac number, because 900116013 - 2⁸ = 900115757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900116813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145956 + ... + 151997.

It is an arithmetic number, because the mean of its divisors is an integer number (80447580).

Almost surely, 2^900116013 is an apocalyptic number.

It is an amenable number.

900116013 is a deficient number, since it is larger than the sum of its proper divisors (387045267).

900116013 is a wasteful number, since it uses less digits than its factorization.

900116013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298028.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 900116013 is about 30001.9334876938. The cubic root of 900116013 is about 965.5308677566.

The spelling of 900116013 in words is "nine hundred million, one hundred sixteen thousand, thirteen".