13578565413 has 32 divisors (see below), whose sum is σ = 21519511552. Its totient is φ = 7454462400.

The previous prime is 13578565381. The next prime is 13578565421. The reversal of 13578565413 is 31456587531.

13578565413 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 13578565413 - 2⁵ = 13578565381 is a prime.

It is a super-3 number, since 3×13578565413³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578565433) 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 31 ways as a sum of consecutive naturals, for example, 68173 + ... + 178338.

It is an arithmetic number, because the mean of its divisors is an integer number (672484736).

Almost surely, 2^13578565413 is an apocalyptic number.

It is an amenable number.

13578565413 is a deficient number, since it is larger than the sum of its proper divisors (7940946139).

13578565413 is a wasteful number, since it uses less digits than its factorization.

13578565413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246625.

The product of its digits is 1512000, while the sum is 48.

The spelling of 13578565413 in words is "thirteen billion, five hundred seventy-eight million, five hundred sixty-five thousand, four hundred thirteen".