165563130116161 has 2 divisors, whose sum is σ = 165563130116162. Its totient is φ = 165563130116160.

The previous prime is 165563130116119. The next prime is 165563130116171. The reversal of 165563130116161 is 161611031365561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129728910819600 + 35834219296561 = 11389860^2 + 5986169^2 .

It is a cyclic number.

It is not a de Polignac number, because 165563130116161 - 2⁴⁷ = 24825641760833 is a prime.

It is a super-2 number, since 2×165563130116161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165563130116171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82781565058080 + 82781565058081.

It is an arithmetic number, because the mean of its divisors is an integer number (82781565058081).

Almost surely, 2^{165563130116161} is an apocalyptic number.

It is an amenable number.

165563130116161 is a deficient number, since it is larger than the sum of its proper divisors (1).

165563130116161 is an equidigital number, since it uses as much as digits as its factorization.

165563130116161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 165563130116161 in words is "one hundred sixty-five trillion, five hundred sixty-three billion, one hundred thirty million, one hundred sixteen thousand, one hundred sixty-one".