171711613161 has 81 divisors (see below), whose sum is σ = 283004333157. Its totient is φ = 100247051520.

The previous prime is 171711613141. The next prime is 171711613169. The reversal of 171711613161 is 161316117171.

The square root of 171711613161 is 414381.

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

171711613161 is a `hidden beast` number, since 1 + 7 + 17 + 11 + 613 + 16 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28491752025 + 143219861136 = 168795^2 + 378444^2 .

It is not a de Polignac number, because 171711613161 - 2³¹ = 169564129513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (171711613169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 396562401 + ... + 396562833.

Almost surely, 2^171711613161 is an apocalyptic number.

171711613161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

171711613161 is the 414381-st square number.

171711613161 is the 207191-st centered octagonal number.

It is an amenable number.

171711613161 is a deficient number, since it is larger than the sum of its proper divisors (111292719996).

171711613161 is an equidigital number, since it uses as much as digits as its factorization.

171711613161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its digits is 5292, while the sum is 36.

Multiplying 171711613161 by its sum of digits (36), we get a square (6181618073796 = 2486286²).

The spelling of 171711613161 in words is "one hundred seventy-one billion, seven hundred eleven million, six hundred thirteen thousand, one hundred sixty-one".