2701117118657 has 2 divisors, whose sum is σ = 2701117118658. Its totient is φ = 2701117118656.

The previous prime is 2701117118597. The next prime is 2701117118717. The reversal of 2701117118657 is 7568117111072.

It is a balanced prime because it is at equal distance from previous prime (2701117118597) and next prime (2701117118717).

It can be written as a sum of positive squares in only one way, i.e., 2526561114256 + 174556004401 = 1589516^2 + 417799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2701117118657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2701117118257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1350558559328 + 1350558559329.

It is an arithmetic number, because the mean of its divisors is an integer number (1350558559329).

Almost surely, 2^{2701117118657} is an apocalyptic number.

It is an amenable number.

2701117118657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2701117118657 is an equidigital number, since it uses as much as digits as its factorization.

2701117118657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 164640, while the sum is 47.

The spelling of 2701117118657 in words is "two trillion, seven hundred one billion, one hundred seventeen million, one hundred eighteen thousand, six hundred fifty-seven".