85805116155041 has 2 divisors, whose sum is σ = 85805116155042. Its totient is φ = 85805116155040.

The previous prime is 85805116155007. The next prime is 85805116155061. The reversal of 85805116155041 is 14055161150858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85727155138816 + 77961016225 = 9258896^2 + 279215^2 .

It is a cyclic number.

It is not a de Polignac number, because 85805116155041 - 2¹⁴ = 85805116138657 is a prime.

It is not a weakly prime, because it can be changed into another prime (85805116155061) 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, 42902558077520 + 42902558077521.

It is an arithmetic number, because the mean of its divisors is an integer number (42902558077521).

Almost surely, 2^{85805116155041} is an apocalyptic number.

It is an amenable number.

85805116155041 is a deficient number, since it is larger than the sum of its proper divisors (1).

85805116155041 is an equidigital number, since it uses as much as digits as its factorization.

85805116155041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960000, while the sum is 50.

The spelling of 85805116155041 in words is "eighty-five trillion, eight hundred five billion, one hundred sixteen million, one hundred fifty-five thousand, forty-one".