165045252561641 has 2 divisors, whose sum is σ = 165045252561642. Its totient is φ = 165045252561640.

The previous prime is 165045252561619. The next prime is 165045252561719. The reversal of 165045252561641 is 146165252540561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143597202072025 + 21448050489616 = 11983205^2 + 4631204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165045252561641 is a prime.

It is a super-2 number, since 2×165045252561641² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (165045252501641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82522626280820 + 82522626280821.

It is an arithmetic number, because the mean of its divisors is an integer number (82522626280821).

Almost surely, 2^{165045252561641} is an apocalyptic number.

It is an amenable number.

165045252561641 is a deficient number, since it is larger than the sum of its proper divisors (1).

165045252561641 is an equidigital number, since it uses as much as digits as its factorization.

165045252561641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640000, while the sum is 53.

The spelling of 165045252561641 in words is "one hundred sixty-five trillion, forty-five billion, two hundred fifty-two million, five hundred sixty-one thousand, six hundred forty-one".