165765435361 has 2 divisors, whose sum is σ = 165765435362. Its totient is φ = 165765435360.

The previous prime is 165765435349. The next prime is 165765435427. The reversal of 165765435361 is 163534567561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158169267025 + 7596168336 = 397705^2 + 87156^2 .

It is a cyclic number.

It is not a de Polignac number, because 165765435361 - 2¹¹ = 165765433313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165765435299 and 165765435308.

It is not a weakly prime, because it can be changed into another prime (165765435061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82882717680 + 82882717681.

It is an arithmetic number, because the mean of its divisors is an integer number (82882717681).

Almost surely, 2^165765435361 is an apocalyptic number.

It is an amenable number.

165765435361 is a deficient number, since it is larger than the sum of its proper divisors (1).

165765435361 is an equidigital number, since it uses as much as digits as its factorization.

165765435361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804000, while the sum is 52.

The spelling of 165765435361 in words is "one hundred sixty-five billion, seven hundred sixty-five million, four hundred thirty-five thousand, three hundred sixty-one".