900999999009 has 12 divisors (see below), whose sum is σ = 1419757574352. Its totient is φ = 546060605400.

The previous prime is 900999998917. The next prime is 900999999037.

900999999009 is nontrivially palindromic in base 10.

900999999009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900999999009 - 2⁹ = 900999998497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900999999089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4550504947 + ... + 4550505144.

It is an arithmetic number, because the mean of its divisors is an integer number (118313131196).

Almost surely, 2^900999999009 is an apocalyptic number.

900999999009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

900999999009 is a deficient number, since it is larger than the sum of its proper divisors (518757575343).

900999999009 is a wasteful number, since it uses less digits than its factorization.

900999999009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101010108 (or 9101010105 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 900999999009 in words is "nine hundred billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine".