85181675881 has 9 divisors (see below), whose sum is σ = 89906735223. Its totient is φ = 80693176320.

The previous prime is 85181675863. The next prime is 85181675897. The reversal of 85181675881 is 18857618158.

The square root of 85181675881 is 291859.

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., 65199026281 + 19982649600 = 255341^2 + 141360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-85181675881 is a prime.

It is a super-2 number, since 2×85181675881² (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 (85181675851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5537641 + ... + 5553001.

It is an arithmetic number, because the mean of its divisors is an integer number (9989637247).

Almost surely, 2^85181675881 is an apocalyptic number.

85181675881 is the 291859-th square number.

85181675881 is the 145930-th centered octagonal number.

It is an amenable number.

85181675881 is a deficient number, since it is larger than the sum of its proper divisors (4725059342).

85181675881 is an frugal number, since it uses more digits than its factorization.

85181675881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760 (or 15380 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 58.

The spelling of 85181675881 in words is "eighty-five billion, one hundred eighty-one million, six hundred seventy-five thousand, eight hundred eighty-one".