904809512971 has 32 divisors (see below), whose sum is σ = 1145476620288. Its totient is φ = 695583020160.

The previous prime is 904809512953. The next prime is 904809513001. The reversal of 904809512971 is 179215908409.

It is a de Polignac number, because none of the positive numbers 2^k-904809512971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904809512071) 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 31 ways as a sum of consecutive naturals, for example, 142065 + ... + 1352701.

It is an arithmetic number, because the mean of its divisors is an integer number (35796144384).

Almost surely, 2^904809512971 is an apocalyptic number.

904809512971 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

904809512971 is a deficient number, since it is larger than the sum of its proper divisors (240667107317).

904809512971 is a wasteful number, since it uses less digits than its factorization.

904809512971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210891.

The product of its (nonzero) digits is 1632960, while the sum is 55.

The spelling of 904809512971 in words is "nine hundred four billion, eight hundred nine million, five hundred twelve thousand, nine hundred seventy-one".