85269256081 has 27 divisors (see below), whose sum is σ = 92086453011. Its totient is φ = 78940545024.

The previous prime is 85269256069. The next prime is 85269256087. The reversal of 85269256081 is 18065296258.

The square root of 85269256081 is 292009.

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

It can be written as a sum of positive squares in 13 ways, for example, as 67205896081 + 18063360000 = 259241^2 + 134400^2 .

It is not a de Polignac number, because 85269256081 - 2¹⁷ = 85269125009 is a prime.

It is a super-2 number, since 2×85269256081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85269256087) 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, 441809521 + ... + 441809713.

Almost surely, 2^85269256081 is an apocalyptic number.

85269256081 is the 292009-th square number.

85269256081 is the 146005-th centered octagonal number.

It is an amenable number.

85269256081 is a deficient number, since it is larger than the sum of its proper divisors (6817196930).

85269256081 is an frugal number, since it uses more digits than its factorization.

85269256081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 85269256081 in words is "eighty-five billion, two hundred sixty-nine million, two hundred fifty-six thousand, eighty-one".