166523635606061 has 2 divisors, whose sum is σ = 166523635606062. Its totient is φ = 166523635606060.

The previous prime is 166523635605967. The next prime is 166523635606079. The reversal of 166523635606061 is 160606536325661.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117733480456036 + 48790155150025 = 10850506^2 + 6984995^2 .

It is an emirp because it is prime and its reverse (160606536325661) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 166523635606061 - 2¹⁸ = 166523635343917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166523635605988 and 166523635606006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166523635602061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83261817803030 + 83261817803031.

It is an arithmetic number, because the mean of its divisors is an integer number (83261817803031).

Almost surely, 2^{166523635606061} is an apocalyptic number.

It is an amenable number.

166523635606061 is a deficient number, since it is larger than the sum of its proper divisors (1).

166523635606061 is an equidigital number, since it uses as much as digits as its factorization.

166523635606061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20995200, while the sum is 56.

The spelling of 166523635606061 in words is "one hundred sixty-six trillion, five hundred twenty-three billion, six hundred thirty-five million, six hundred six thousand, sixty-one".