13395577657 has 16 divisors (see below), whose sum is σ = 17579980800. Its totient is φ = 9888737040.

The previous prime is 13395577639. The next prime is 13395577673. The reversal of 13395577657 is 75677559331.

13395577657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13395577657 - 2⁷ = 13395577529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13395577157) 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 in 15 ways as a sum of consecutive naturals, for example, 4576657 + ... + 4579582.

It is an arithmetic number, because the mean of its divisors is an integer number (1098748800).

Almost surely, 2^13395577657 is an apocalyptic number.

It is an amenable number.

13395577657 is a deficient number, since it is larger than the sum of its proper divisors (4184403143).

13395577657 is a wasteful number, since it uses less digits than its factorization.

13395577657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156276.

The product of its digits is 20837250, while the sum is 58.

The spelling of 13395577657 in words is "thirteen billion, three hundred ninety-five million, five hundred seventy-seven thousand, six hundred fifty-seven".