900133915117 has 32 divisors (see below), whose sum is σ = 982020188160. Its totient is φ = 822579183360.

The previous prime is 900133915103. The next prime is 900133915129. The reversal of 900133915117 is 711519331009.

It is not a de Polignac number, because 900133915117 - 2⁷ = 900133914989 is a prime.

It is a super-2 number, since 2×900133915117² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 900133915117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900133913117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21506703 + ... + 21548515.

It is an arithmetic number, because the mean of its divisors is an integer number (30688130880).

Almost surely, 2^900133915117 is an apocalyptic number.

It is an amenable number.

900133915117 is a deficient number, since it is larger than the sum of its proper divisors (81886273043).

900133915117 is a wasteful number, since it uses less digits than its factorization.

900133915117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42253.

The product of its (nonzero) digits is 25515, while the sum is 40.

The spelling of 900133915117 in words is "nine hundred billion, one hundred thirty-three million, nine hundred fifteen thousand, one hundred seventeen".