900900009009 has 96 divisors (see below), whose sum is σ = 1849976803584. Its totient is φ = 406588170240.

The previous prime is 900900008999. The next prime is 900900009013.

900900009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900900009009 - 2⁹ = 900900008497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900900009059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2788024 + ... + 3094329.

It is an arithmetic number, because the mean of its divisors is an integer number (19270591704).

Almost surely, 2^900900009009 is an apocalyptic number.

900900009009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

900900009009 is an abundant number, since it is smaller than the sum of its proper divisors (949076794575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900900009009 is a wasteful number, since it uses less digits than its factorization.

900900009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882407 (or 5882404 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 90090000 and 9009, that multiplied together give a square (811620810000 = 900900²).

The spelling of 900900009009 in words is "nine hundred billion, nine hundred million, nine thousand, nine".