1000010000009 has 16 divisors (see below), whose sum is σ = 1013757174864. Its totient is φ = 986340960000.

The previous prime is 1000009999981. The next prime is 1000010000023. The reversal of 1000010000009 is 9000000100001.

It can be written as a sum of positive squares in 8 ways, for example, as 820464582025 + 179545417984 = 905795^2 + 423728^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010000009 - 2⁸ = 1000009999753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000010000039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100995959 + ... + 101005859.

It is an arithmetic number, because the mean of its divisors is an integer number (63359823429).

Almost surely, 2^{1000010000009} is an apocalyptic number.

It is an amenable number.

1000010000009 is a deficient number, since it is larger than the sum of its proper divisors (13747174855).

1000010000009 is a wasteful number, since it uses less digits than its factorization.

1000010000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708.

The product of its (nonzero) digits is 9, while the sum is 11.

The spelling of 1000010000009 in words is "one trillion, ten million, nine", and thus it is an aban number and an uban number.