2085275777177 has 2 divisors, whose sum is σ = 2085275777178. Its totient is φ = 2085275777176.

The previous prime is 2085275777131. The next prime is 2085275777201. The reversal of 2085275777177 is 7717775725802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2018300407561 + 66975369616 = 1420669^2 + 258796^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085275777177 - 2¹⁰ = 2085275776153 is a prime.

It is a super-2 number, since 2×2085275777177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2085275777677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042637888588 + 1042637888589.

It is an arithmetic number, because the mean of its divisors is an integer number (1042637888589).

Almost surely, 2^{2085275777177} is an apocalyptic number.

It is an amenable number.

2085275777177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085275777177 is an equidigital number, since it uses as much as digits as its factorization.

2085275777177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94119200, while the sum is 65.

The spelling of 2085275777177 in words is "two trillion, eighty-five billion, two hundred seventy-five million, seven hundred seventy-seven thousand, one hundred seventy-seven".