811437601 has 16 divisors (see below), whose sum is σ = 899026128. Its totient is φ = 727603200.

The previous prime is 811437593. The next prime is 811437607. The reversal of 811437601 is 106734118.

It can be written as a sum of positive squares in 8 ways, for example, as 83247376 + 728190225 = 9124^2 + 26985^2 .

It is a cyclic number.

It is not a de Polignac number, because 811437601 - 2³ = 811437593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (811437607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125295 + ... + 131611.

It is an arithmetic number, because the mean of its divisors is an integer number (56189133).

Almost surely, 2^811437601 is an apocalyptic number.

It is an amenable number.

811437601 is a deficient number, since it is larger than the sum of its proper divisors (87588527).

811437601 is a wasteful number, since it uses less digits than its factorization.

811437601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 811437601 is about 28485.7438203744. The cubic root of 811437601 is about 932.7209024630.

It can be divided in two parts, 81 and 1437601, that multiplied together give a square (116445681 = 10791²).

The spelling of 811437601 in words is "eight hundred eleven million, four hundred thirty-seven thousand, six hundred one".