13575683377 has 8 divisors (see below), whose sum is σ = 14052652200. Its totient is φ = 13099304064.

The previous prime is 13575683371. The next prime is 13575683417. The reversal of 13575683377 is 77338657531.

13575683377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1825340176 + 11750343201 = 42724^2 + 108399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13575683377 - 2⁷ = 13575683249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13575683371) 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 7 ways as a sum of consecutive naturals, for example, 100252 + ... + 192877.

It is an arithmetic number, because the mean of its divisors is an integer number (1756581525).

Almost surely, 2^13575683377 is an apocalyptic number.

It is an amenable number.

13575683377 is a deficient number, since it is larger than the sum of its proper divisors (476968823).

13575683377 is a wasteful number, since it uses less digits than its factorization.

13575683377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294755.

The product of its digits is 11113200, while the sum is 55.

The spelling of 13575683377 in words is "thirteen billion, five hundred seventy-five million, six hundred eighty-three thousand, three hundred seventy-seven".