811901601 has 24 divisors (see below), whose sum is σ = 1356438720. Its totient is φ = 458351136.

The previous prime is 811901599. The next prime is 811901609. The reversal of 811901601 is 106109118.

It is not a de Polignac number, because 811901601 - 2¹ = 811901599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (811901609) 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 23 ways as a sum of consecutive naturals, for example, 72406 + ... + 82863.

It is an arithmetic number, because the mean of its divisors is an integer number (56518280).

Almost surely, 2^811901601 is an apocalyptic number.

It is an amenable number.

811901601 is a deficient number, since it is larger than the sum of its proper divisors (544537119).

811901601 is a wasteful number, since it uses less digits than its factorization.

811901601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155365 (or 155362 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 811901601 is about 28493.8870812671. The cubic root of 811901601 is about 932.8986528460.

The spelling of 811901601 in words is "eight hundred eleven million, nine hundred one thousand, six hundred one".