9000001000009 has 8 divisors (see below), whose sum is σ = 9005455755072. Its totient is φ = 8994546704880.

The previous prime is 9000000999971. The next prime is 9000001000057.

9000001000009 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9000001000009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9000001000009.

It is not an unprimeable number, because it can be changed into a prime (9000001000079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44154162 + ... + 44357524.

It is an arithmetic number, because the mean of its divisors is an integer number (1125681969384).

Almost surely, 2^{9000001000009} is an apocalyptic number.

It is an amenable number.

9000001000009 is a deficient number, since it is larger than the sum of its proper divisors (5454755063).

9000001000009 is a wasteful number, since it uses less digits than its factorization.

9000001000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229967.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 9000001000009 in words is "nine trillion, one million, nine", and thus it is an aban number and an uban number.