85123314081 has 27 divisors (see below), whose sum is σ = 133159393497. Its totient is φ = 52376575680.

The previous prime is 85123314079. The next prime is 85123314103. The reversal of 85123314081 is 18041332158.

The square root of 85123314081 is 291759.

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 43758225 + 85079555856 = 6615^2 + 291684^2 .

It is not a de Polignac number, because 85123314081 - 2¹ = 85123314079 is a prime.

It is a super-2 number, since 2×85123314081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85123314061) 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, 11374861 + ... + 11382341.

Almost surely, 2^85123314081 is an apocalyptic number.

85123314081 is the 291759-th square number.

85123314081 is the 145880-th centered octagonal number.

It is an amenable number.

85123314081 is a deficient number, since it is larger than the sum of its proper divisors (48036079416).

85123314081 is an frugal number, since it uses more digits than its factorization.

85123314081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 85123314081 by its sum of digits (36), we get a square (3064439306916 = 1750554²).

The spelling of 85123314081 in words is "eighty-five billion, one hundred twenty-three million, three hundred fourteen thousand, eighty-one".