900090090009 has 48 divisors (see below), whose sum is σ = 1448249010624. Its totient is φ = 534108556800.

The previous prime is 900090089959. The next prime is 900090090017.

900090090009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900090090009 - 2⁸ = 900090089753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900090092009) 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 47 ways as a sum of consecutive naturals, for example, 535554 + ... + 1444644.

It is an arithmetic number, because the mean of its divisors is an integer number (30171854388).

Almost surely, 2^900090090009 is an apocalyptic number.

900090090009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

900090090009 is a deficient number, since it is larger than the sum of its proper divisors (548158920615).

900090090009 is a wasteful number, since it uses less digits than its factorization.

900090090009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909318 (or 909315 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, 9000900 and 90009, that multiplied together give a square (810162008100 = 900090²).

The spelling of 900090090009 in words is "nine hundred billion, ninety million, ninety thousand, nine".