166882513363201 has 2 divisors, whose sum is σ = 166882513363202. Its totient is φ = 166882513363200.

The previous prime is 166882513363177. The next prime is 166882513363213. The reversal of 166882513363201 is 102363315288661.

166882513363201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98318151633601 + 68564361729600 = 9915551^2 + 8280360^2 .

It is a cyclic number.

It is not a de Polignac number, because 166882513363201 - 2⁷ = 166882513363073 is a prime.

It is not a weakly prime, because it can be changed into another prime (166882513363231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83441256681600 + 83441256681601.

It is an arithmetic number, because the mean of its divisors is an integer number (83441256681601).

Almost surely, 2^{166882513363201} is an apocalyptic number.

It is an amenable number.

166882513363201 is a deficient number, since it is larger than the sum of its proper divisors (1).

166882513363201 is an equidigital number, since it uses as much as digits as its factorization.

166882513363201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 166882513363201 in words is "one hundred sixty-six trillion, eight hundred eighty-two billion, five hundred thirteen million, three hundred sixty-three thousand, two hundred one".