11257832556513 has 24 divisors (see below), whose sum is σ = 16265919571200. Its totient is φ = 7503096309120.

The previous prime is 11257832556437. The next prime is 11257832556521. The reversal of 11257832556513 is 31565523875211.

11257832556513 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 7 + 8 + 32 + 556 + 51 + 3 = 666.

11257832556513 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 11257832556513 - 2¹⁸ = 11257832294369 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11257832556513.

It is not an unprimeable number, because it can be changed into a prime (11257832556713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815837188 + ... + 815850986.

It is an arithmetic number, because the mean of its divisors is an integer number (677746648800).

Almost surely, 2^{11257832556513} is an apocalyptic number.

It is an amenable number.

11257832556513 is a deficient number, since it is larger than the sum of its proper divisors (5008087014687).

11257832556513 is a wasteful number, since it uses less digits than its factorization.

11257832556513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32909 (or 32906 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 11257832556513 in words is "eleven trillion, two hundred fifty-seven billion, eight hundred thirty-two million, five hundred fifty-six thousand, five hundred thirteen".