831642875091961 has 27 divisors (see below), whose sum is σ = 880441874927181. Its totient is φ = 785434041391968.

The previous prime is 831642875091911. The next prime is 831642875091971. The reversal of 831642875091961 is 169190578246138.

The square root of 831642875091961 is 28838219.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 121168776813561 + 710474098278400 = 11007669^2 + 26654720^2 .

It is not a de Polignac number, because 831642875091961 - 2³³ = 831634285157369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (831642875091911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191226228015 + ... + 191226232363.

It is a 1-persistent number, because it is pandigital, but 2⋅831642875091961 = 1663285750183922 is not.

Almost surely, 2^{831642875091961} is an apocalyptic number.

831642875091961 is the 28838219-th square number.

831642875091961 is the 14419110-th centered octagonal number.

It is an amenable number.

831642875091961 is a deficient number, since it is larger than the sum of its proper divisors (48798999835220).

831642875091961 is an frugal number, since it uses more digits than its factorization.

831642875091961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 70.

The spelling of 831642875091961 in words is "eight hundred thirty-one trillion, six hundred forty-two billion, eight hundred seventy-five million, ninety-one thousand, nine hundred sixty-one".