17672195076561 has 27 divisors (see below), whose sum is σ = 25586046706129. Its totient is φ = 11754045998592.

The previous prime is 17672195076539. The next prime is 17672195076619. The reversal of 17672195076561 is 16567059127671.

The square root of 17672195076561 is 4203831.

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

17672195076561 is a `hidden beast` number, since 1 + 7 + 6 + 7 + 2 + 1 + 9 + 507 + 65 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10083514457025 + 7588680619536 = 3175455^2 + 2754756^2 .

It is not a de Polignac number, because 17672195076561 - 2²⁷ = 17672060858833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17672195076511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6419248561 + ... + 6419251313.

Almost surely, 2^{17672195076561} is an apocalyptic number.

17672195076561 is the 4203831-st square number.

17672195076561 is the 2101916-th centered octagonal number.

It is an amenable number.

17672195076561 is a deficient number, since it is larger than the sum of its proper divisors (7913851629568).

17672195076561 is an frugal number, since it uses more digits than its factorization.

17672195076561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 17672195076561 in words is "seventeen trillion, six hundred seventy-two billion, one hundred ninety-five million, seventy-six thousand, five hundred sixty-one".