171897306025 has 27 divisors (see below), whose sum is σ = 215546518159. Its totient is φ = 135990440000.

The previous prime is 171897305977. The next prime is 171897306037. The reversal of 171897306025 is 520603798171.

It is a happy number.

The square root of 171897306025 is 414605.

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 51124375449 + 120772930576 = 226107^2 + 347524^2 .

It is not a de Polignac number, because 171897306025 - 2²¹ = 171895208873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 171897306025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 209375115 + ... + 209375935.

Almost surely, 2^171897306025 is an apocalyptic number.

171897306025 is the 414605-th square number.

171897306025 is the 207303-rd centered octagonal number.

It is an amenable number.

171897306025 is a deficient number, since it is larger than the sum of its proper divisors (43649212134).

171897306025 is an frugal number, since it uses more digits than its factorization.

171897306025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 171897306025 by its sum of digits (49), we get a square (8422967995225 = 2902235²).

The spelling of 171897306025 in words is "one hundred seventy-one billion, eight hundred ninety-seven million, three hundred six thousand, twenty-five".