85957022232601 has 9 divisors (see below), whose sum is σ = 93077852810781. Its totient is φ = 79344832343712.

The previous prime is 85957022232589. The next prime is 85957022232611. The reversal of 85957022232601 is 10623222075958.

The square root of 85957022232601 is 9271301.

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 8821202942601 + 77135819290000 = 2970051^2 + 8782700^2 .

It is not a de Polignac number, because 85957022232601 - 2³⁵ = 85922662494233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85957022232611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120170325 + ... + 120883501.

Almost surely, 2^{85957022232601} is an apocalyptic number.

85957022232601 is the 9271301-st square number.

85957022232601 is the 4635651-st centered octagonal number.

It is an amenable number.

85957022232601 is a deficient number, since it is larger than the sum of its proper divisors (7120830578180).

85957022232601 is an frugal number, since it uses more digits than its factorization.

85957022232601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426380 (or 713190 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 85957022232601 in words is "eighty-five trillion, nine hundred fifty-seven billion, twenty-two million, two hundred thirty-two thousand, six hundred one".