165925363529561 has 2 divisors, whose sum is σ = 165925363529562. Its totient is φ = 165925363529560.

The previous prime is 165925363529557. The next prime is 165925363529579.

165925363529561 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103381228534336 + 62544134995225 = 10167656^2 + 7908485^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 165925363529561 - 2² = 165925363529557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165925363529491 and 165925363529500.

It is not a weakly prime, because it can be changed into another prime (165925363529521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82962681764780 + 82962681764781.

It is an arithmetic number, because the mean of its divisors is an integer number (82962681764781).

Almost surely, 2^{165925363529561} is an apocalyptic number.

It is an amenable number.

165925363529561 is a deficient number, since it is larger than the sum of its proper divisors (1).

165925363529561 is an equidigital number, since it uses as much as digits as its factorization.

165925363529561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 393660000, while the sum is 68.

The spelling of 165925363529561 in words is "one hundred sixty-five trillion, nine hundred twenty-five billion, three hundred sixty-three million, five hundred twenty-nine thousand, five hundred sixty-one".