85333510161 has 9 divisors (see below), whose sum is σ = 123260780539. Its totient is φ = 56888422536.

The previous prime is 85333510133. The next prime is 85333510177. The reversal of 85333510161 is 16101533358.

The square root of 85333510161 is 292119.

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

85333510161 is a `hidden beast` number, since 8 + 53 + 33 + 510 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3512340225 + 81821169936 = 59265^2 + 286044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-85333510161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85333511161) 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, 827671 + ... + 925043.

Almost surely, 2^85333510161 is an apocalyptic number.

85333510161 is the 292119-th square number.

85333510161 is the 146060-th centered octagonal number.

It is an amenable number.

85333510161 is a deficient number, since it is larger than the sum of its proper divisors (37927270378).

85333510161 is an frugal number, since it uses more digits than its factorization.

85333510161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194752 (or 97376 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 85333510161 by its sum of digits (36), we get a square (3072006365796 = 1752714²).

The spelling of 85333510161 in words is "eighty-five billion, three hundred thirty-three million, five hundred ten thousand, one hundred sixty-one".