657106947121 has 2 divisors, whose sum is σ = 657106947122. Its totient is φ = 657106947120.

The previous prime is 657106947073. The next prime is 657106947143. The reversal of 657106947121 is 121749601756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 642740527521 + 14366419600 = 801711^2 + 119860^2 .

It is a cyclic number.

It is not a de Polignac number, because 657106947121 - 2⁹ = 657106946609 is a prime.

It is not a weakly prime, because it can be changed into another prime (657106947191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328553473560 + 328553473561.

It is an arithmetic number, because the mean of its divisors is an integer number (328553473561).

Almost surely, 2^657106947121 is an apocalyptic number.

It is an amenable number.

657106947121 is a deficient number, since it is larger than the sum of its proper divisors (1).

657106947121 is an equidigital number, since it uses as much as digits as its factorization.

657106947121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 657106947121 in words is "six hundred fifty-seven billion, one hundred six million, nine hundred forty-seven thousand, one hundred twenty-one".