2085971313161 has 2 divisors, whose sum is σ = 2085971313162. Its totient is φ = 2085971313160.

The previous prime is 2085971313157. The next prime is 2085971313187. The reversal of 2085971313161 is 1613131795802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1113911376400 + 972059936761 = 1055420^2 + 985931^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085971313161 - 2² = 2085971313157 is a prime.

It is not a weakly prime, because it can be changed into another prime (2085971313661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042985656580 + 1042985656581.

It is an arithmetic number, because the mean of its divisors is an integer number (1042985656581).

Almost surely, 2^{2085971313161} is an apocalyptic number.

It is an amenable number.

2085971313161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085971313161 is an equidigital number, since it uses as much as digits as its factorization.

2085971313161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 2085971313161 in words is "two trillion, eighty-five billion, nine hundred seventy-one million, three hundred thirteen thousand, one hundred sixty-one".