13520032224 has 48 divisors (see below), whose sum is σ = 37033137792. Its totient is φ = 4310734208.

The previous prime is 13520032193. The next prime is 13520032277. The reversal of 13520032224 is 42223002531.

13520032224 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13520032194 and 13520032203.

It is a congruent number.

It is an unprimeable number.

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, 3059394 + ... + 3063809.

It is an arithmetic number, because the mean of its divisors is an integer number (771523704).

Almost surely, 2^13520032224 is an apocalyptic number.

It is an amenable number.

13520032224 is an abundant number, since it is smaller than the sum of its proper divisors (23513105568).

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

13520032224 is a wasteful number, since it uses less digits than its factorization.

13520032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123239 (or 6123231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13520032224 its reverse (42223002531), we get a palindrome (55743034755).

The spelling of 13520032224 in words is "thirteen billion, five hundred twenty million, thirty-two thousand, two hundred twenty-four".