171335561329 has 9 divisors (see below), whose sum is σ = 171963292683. Its totient is φ = 170710117632.

The previous prime is 171335561317. The next prime is 171335561351. The reversal of 171335561329 is 923165533171.

The square root of 171335561329 is 413927.

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

It can be written as a sum of positive squares in only one way, i.e., 135405600625 + 35929960704 = 367975^2 + 189552^2 .

It is not a de Polignac number, because 171335561329 - 2⁵ = 171335561297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171335564329) 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, 148599217 + ... + 148600369.

Almost surely, 2^171335561329 is an apocalyptic number.

171335561329 is the 413927-th square number.

171335561329 is the 206964-th centered octagonal number.

It is an amenable number.

171335561329 is a deficient number, since it is larger than the sum of its proper divisors (627731354).

171335561329 is an frugal number, since it uses more digits than its factorization.

171335561329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its digits is 510300, while the sum is 46.

The spelling of 171335561329 in words is "one hundred seventy-one billion, three hundred thirty-five million, five hundred sixty-one thousand, three hundred twenty-nine".