85175013198961 has 27 divisors (see below), whose sum is σ = 99670250051073. Its totient is φ = 72575623139040.

The previous prime is 85175013198943. The next prime is 85175013199103. The reversal of 85175013198961 is 16989131057158.

The square root of 85175013198961 is 9229031.

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 53925303258225 + 31249709940736 = 7343385^2 + 5590144^2 .

It is not a de Polignac number, because 85175013198961 - 2⁵ = 85175013198929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85175013198893 and 85175013198902.

It is not an unprimeable number, because it can be changed into a prime (85175013198911) 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, 11176352731 + ... + 11176360351.

Almost surely, 2^{85175013198961} is an apocalyptic number.

85175013198961 is the 9229031-st square number.

85175013198961 is the 4614516-th centered octagonal number.

It is an amenable number.

85175013198961 is a deficient number, since it is larger than the sum of its proper divisors (14495236852112).

85175013198961 is an frugal number, since it uses more digits than its factorization.

85175013198961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 64.

The spelling of 85175013198961 in words is "eighty-five trillion, one hundred seventy-five billion, thirteen million, one hundred ninety-eight thousand, nine hundred sixty-one".