808166682601 has 16 divisors (see below), whose sum is σ = 844118018128. Its totient is φ = 772973280000.

The previous prime is 808166682571. The next prime is 808166682607. The reversal of 808166682601 is 106286661808.

808166682601 = 635675² + 635676².

It can be written as a sum of positive squares in 8 ways, for example, as 3019392601 + 805147290000 = 54949^2 + 897300^2 .

It is a 7-Lehmer number, since φ(808166682601) divides (808166682601-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 808166682601 - 2¹⁵ = 808166649833 is a prime.

It is a super-2 number, since 2×808166682601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (808166682607) 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, 3715351 + ... + 3926851.

It is an arithmetic number, because the mean of its divisors is an integer number (52757376133).

Almost surely, 2^808166682601 is an apocalyptic number.

808166682601 is the 635676-th centered square number.

It is an amenable number.

808166682601 is a deficient number, since it is larger than the sum of its proper divisors (35951335527).

808166682601 is a wasteful number, since it uses less digits than its factorization.

808166682601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213292.

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 808166682601 in words is "eight hundred eight billion, one hundred sixty-six million, six hundred eighty-two thousand, six hundred one".