9010000001 has 4 divisors (see below), whose sum is σ = 9010244100. Its totient is φ = 9009755904.

The previous prime is 9009999997. The next prime is 9010000009. The reversal of 9010000001 is 1000000109.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1000000109 = 20063 ⋅49843.

It can be written as a sum of positive squares in 2 ways, for example, as 2787945601 + 6222054400 = 52801^2 + 78880^2 .

It is a cyclic number.

It is not a de Polignac number, because 9010000001 - 2² = 9009999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9010000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54056 + ... + 144713.

It is an arithmetic number, because the mean of its divisors is an integer number (2252561025).

Almost surely, 2^9010000001 is an apocalyptic number.

It is an amenable number.

9010000001 is a deficient number, since it is larger than the sum of its proper divisors (244099).

9010000001 is a wasteful number, since it uses less digits than its factorization.

9010000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244098.

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

The square root of 9010000001 is about 94921.0198059418. The cubic root of 9010000001 is about 2080.8539393870.

The spelling of 9010000001 in words is "nine billion, ten million, one", and thus it is an aban number and an uban number.