905001000001 has 16 divisors (see below), whose sum is σ = 1089438105600. Its totient is φ = 734405339088.

The previous prime is 905000999999. The next prime is 905001000011. The reversal of 905001000001 is 100000100509.

It is a cyclic number.

It is not a de Polignac number, because 905001000001 - 2¹ = 905000999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (905001000011) 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, 2031361 + ... + 2436478.

It is an arithmetic number, because the mean of its divisors is an integer number (68089881600).

Almost surely, 2^905001000001 is an apocalyptic number.

It is an amenable number.

905001000001 is a deficient number, since it is larger than the sum of its proper divisors (184437105599).

905001000001 is a wasteful number, since it uses less digits than its factorization.

905001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469388.

The product of its (nonzero) digits is 45, while the sum is 16.

The spelling of 905001000001 in words is "nine hundred five billion, one million, one", and thus it is an aban number.