41052165440201 has 2 divisors, whose sum is σ = 41052165440202. Its totient is φ = 41052165440200.

The previous prime is 41052165440131. The next prime is 41052165440203. The reversal of 41052165440201 is 10204456125014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29213473692601 + 11838691747600 = 5404949^2 + 3440740^2 .

It is a cyclic number.

It is not a de Polignac number, because 41052165440201 - 2¹⁰ = 41052165439177 is a prime.

Together with 41052165440203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (41052165440203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20526082720100 + 20526082720101.

It is an arithmetic number, because the mean of its divisors is an integer number (20526082720101).

Almost surely, 2^{41052165440201} is an apocalyptic number.

It is an amenable number.

41052165440201 is a deficient number, since it is larger than the sum of its proper divisors (1).

41052165440201 is an equidigital number, since it uses as much as digits as its factorization.

41052165440201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 41052165440201 in words is "forty-one trillion, fifty-two billion, one hundred sixty-five million, four hundred forty thousand, two hundred one".