859271526961 has 27 divisors (see below), whose sum is σ = 921636092587. Its totient is φ = 801049531040.

The previous prime is 859271526941. The next prime is 859271526977. The reversal of 859271526961 is 169625172958.

The square root of 859271526961 is 926969.

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

It can be written as a sum of positive squares in only one way, i.e., 41404517361 + 817867009600 = 203481^2 + 904360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-859271526961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 859271526961.

It is not an unprimeable number, because it can be changed into a prime (859271526931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 874131276 + ... + 874132258.

Almost surely, 2^859271526961 is an apocalyptic number.

859271526961 is the 926969-th square number.

859271526961 is the 463485-th centered octagonal number.

It is an amenable number.

859271526961 is a deficient number, since it is larger than the sum of its proper divisors (62364565626).

859271526961 is an frugal number, since it uses more digits than its factorization.

859271526961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 61.

The spelling of 859271526961 in words is "eight hundred fifty-nine billion, two hundred seventy-one million, five hundred twenty-six thousand, nine hundred sixty-one".