166527767725661 has 12 divisors (see below), whose sum is σ = 170244481882332. Its totient is φ = 162890572310208.

The previous prime is 166527767725597. The next prime is 166527767725723.

166527767725661 is nontrivially palindromic in base 10.

166527767725661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 68741261371225 + 97786506354436 = 8291035^2 + 9888706^2 .

It is not a de Polignac number, because 166527767725661 - 2⁶ = 166527767725597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166527767725061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17921960 + ... + 25578353.

It is an arithmetic number, because the mean of its divisors is an integer number (14187040156861).

Almost surely, 2^{166527767725661} is an apocalyptic number.

It is an amenable number.

166527767725661 is a deficient number, since it is larger than the sum of its proper divisors (3716714156671).

166527767725661 is an equidigital number, since it uses as much as digits as its factorization.

166527767725661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43502140 (or 43502093 counting only the distinct ones).

The product of its digits is 1867017600, while the sum is 74.

The spelling of 166527767725661 in words is "one hundred sixty-six trillion, five hundred twenty-seven billion, seven hundred sixty-seven million, seven hundred twenty-five thousand, six hundred sixty-one".