900909009 has 72 divisors (see below), whose sum is σ = 1760647616. Its totient is φ = 431956800.

The previous prime is 900909007. The next prime is 900909013.

900909009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900909009 - 2¹ = 900909007 is a prime.

It is a super-3 number, since 3×900909009³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (900909007) 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 71 ways as a sum of consecutive naturals, for example, 94554 + ... + 103644.

Almost surely, 2^900909009 is an apocalyptic number.

900909009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

900909009 is a deficient number, since it is larger than the sum of its proper divisors (859738607).

900909009 is a wasteful number, since it uses less digits than its factorization.

900909009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9125 counting only the distinct ones).

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

The square root of 900909009 is about 30015.1463264799. The cubic root of 900909009 is about 965.8143265431.

It can be divided in two parts, 90090 and 9009, that added together give a palindrome (99099).

The spelling of 900909009 in words is "nine hundred million, nine hundred nine thousand, nine".