171112561 has 9 divisors (see below), whose sum is σ = 174161241. Its totient is φ = 168117012.

The previous prime is 171112541. The next prime is 171112577. The reversal of 171112561 is 165211171.

The square root of 171112561 is 13081.

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

171112561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 171112561 - 2¹⁹ = 170588273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171112541) 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, 1347280 + ... + 1347406.

It is an arithmetic number, because the mean of its divisors is an integer number (19351249).

Almost surely, 2^171112561 is an apocalyptic number.

171112561 is the 13081-st square number.

171112561 is the 6541-st centered octagonal number.

It is an amenable number.

171112561 is a deficient number, since it is larger than the sum of its proper divisors (3048680).

171112561 is an frugal number, since it uses more digits than its factorization.

171112561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 420, while the sum is 25.

The cubic root of 171112561 is about 555.1716710503.

Multiplying 171112561 by its sum of digits (25), we get a square (4277814025 = 65405²).

The spelling of 171112561 in words is "one hundred seventy-one million, one hundred twelve thousand, five hundred sixty-one".