13525235440 has 40 divisors (see below), whose sum is σ = 31587228288. Its totient is φ = 5385826560.

The previous prime is 13525235419. The next prime is 13525235447. The reversal of 13525235440 is 4453252531.

13525235440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13525235396 and 13525235405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525235447) 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, 361231 + ... + 396910.

Almost surely, 2^13525235440 is an apocalyptic number.

13525235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13525235440 is an abundant number, since it is smaller than the sum of its proper divisors (18061992848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13525235440 is a wasteful number, since it uses less digits than its factorization.

13525235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758377 (or 758371 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 13525235440 its reverse (4453252531), we get a palindrome (17978487971).

The spelling of 13525235440 in words is "thirteen billion, five hundred twenty-five million, two hundred thirty-five thousand, four hundred forty".