657106946117 has 2 divisors, whose sum is σ = 657106946118. Its totient is φ = 657106946116.

The previous prime is 657106946059. The next prime is 657106946173. The reversal of 657106946117 is 711649601756.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 535895738401 + 121211207716 = 732049^2 + 348154^2 .

It is a cyclic number.

It is not a de Polignac number, because 657106946117 - 2⁸ = 657106945861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657106946017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328553473058 + 328553473059.

It is an arithmetic number, because the mean of its divisors is an integer number (328553473059).

Almost surely, 2^657106946117 is an apocalyptic number.

It is an amenable number.

657106946117 is a deficient number, since it is larger than the sum of its proper divisors (1).

657106946117 is an equidigital number, since it uses as much as digits as its factorization.

657106946117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 657106946117 in words is "six hundred fifty-seven billion, one hundred six million, nine hundred forty-six thousand, one hundred seventeen".