657680937311 has 16 divisors (see below), whose sum is σ = 677050291008. Its totient is φ = 638473651200.

The previous prime is 657680937307. The next prime is 657680937313. The reversal of 657680937311 is 113739086756.

657680937311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 657680937311 - 2² = 657680937307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657680937313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15330251 + ... + 15373091.

It is an arithmetic number, because the mean of its divisors is an integer number (42315643188).

Almost surely, 2^657680937311 is an apocalyptic number.

657680937311 is a deficient number, since it is larger than the sum of its proper divisors (19369353697).

657680937311 is a wasteful number, since it uses less digits than its factorization.

657680937311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44722.

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 657680937311 in words is "six hundred fifty-seven billion, six hundred eighty million, nine hundred thirty-seven thousand, three hundred eleven".