2705417636161 has 2 divisors, whose sum is σ = 2705417636162. Its totient is φ = 2705417636160.

The previous prime is 2705417636093. The next prime is 2705417636171. The reversal of 2705417636161 is 1616367145072.

It is a happy number.

2705417636161 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., 2189642305536 + 515775330625 = 1479744^2 + 718175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705417636161 - 2³⁵ = 2671057897793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2705417636171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352708818080 + 1352708818081.

It is an arithmetic number, because the mean of its divisors is an integer number (1352708818081).

Almost surely, 2^{2705417636161} is an apocalyptic number.

It is an amenable number.

2705417636161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705417636161 is an equidigital number, since it uses as much as digits as its factorization.

2705417636161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 2705417636161 in words is "two trillion, seven hundred five billion, four hundred seventeen million, six hundred thirty-six thousand, one hundred sixty-one".