165003901220161 has 2 divisors, whose sum is σ = 165003901220162. Its totient is φ = 165003901220160.

The previous prime is 165003901220087. The next prime is 165003901220201. The reversal of 165003901220161 is 161022109300561.

165003901220161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94256137273600 + 70747763946561 = 9708560^2 + 8411169^2 .

It is a cyclic number.

It is not a de Polignac number, because 165003901220161 - 2²⁵ = 165003867665729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165003901220161.

It is not a weakly prime, because it can be changed into another prime (165003901220761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82501950610080 + 82501950610081.

It is an arithmetic number, because the mean of its divisors is an integer number (82501950610081).

Almost surely, 2^{165003901220161} is an apocalyptic number.

It is an amenable number.

165003901220161 is a deficient number, since it is larger than the sum of its proper divisors (1).

165003901220161 is an equidigital number, since it uses as much as digits as its factorization.

165003901220161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 165003901220161 in words is "one hundred sixty-five trillion, three billion, nine hundred one million, two hundred twenty thousand, one hundred sixty-one".