171358964872225 has 81 divisors (see below), whose sum is σ = 236517536305323. Its totient is φ = 123099330407040.

The previous prime is 171358964872087. The next prime is 171358964872229. The reversal of 171358964872225 is 522278469853171.

The square root of 171358964872225 is 13090415.

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

It can be written as a sum of positive squares in 13 ways, for example, as 98890315698321 + 72468649173904 = 9944361^2 + 8512852^2 .

It is not a de Polignac number, because 171358964872225 - 2¹⁵ = 171358964839457 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (171358964872229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31482445354 + ... + 31482450796.

Almost surely, 2^{171358964872225} is an apocalyptic number.

171358964872225 is the 13090415-th square number.

171358964872225 is the 6545208-th centered octagonal number.

It is an amenable number.

171358964872225 is a deficient number, since it is larger than the sum of its proper divisors (65158571433098).

171358964872225 is an frugal number, since it uses more digits than its factorization.

171358964872225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10996 (or 5498 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 70.

The spelling of 171358964872225 in words is "one hundred seventy-one trillion, three hundred fifty-eight billion, nine hundred sixty-four million, eight hundred seventy-two thousand, two hundred twenty-five".