900999009 has 6 divisors (see below), whose sum is σ = 1301443026. Its totient is φ = 600666000.

The previous prime is 900999007. The next prime is 900999013.

900999009 is nontrivially palindromic in base 10.

900999009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 681366609 + 219632400 = 26103^2 + 14820^2 .

It is not a de Polignac number, because 900999009 - 2¹ = 900999007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900999007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50055492 + ... + 50055509.

It is an arithmetic number, because the mean of its divisors is an integer number (216907171).

Almost surely, 2^900999009 is an apocalyptic number.

It is an amenable number.

900999009 is a deficient number, since it is larger than the sum of its proper divisors (400444017).

900999009 is a wasteful number, since it uses less digits than its factorization.

900999009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111007 (or 100111004 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 900999009 is about 30016.6455321043. The cubic root of 900999009 is about 965.8464867998.

The spelling of 900999009 in words is "nine hundred million, nine hundred ninety-nine thousand, nine".