13821052024 has 32 divisors (see below), whose sum is σ = 27920229120. Its totient is φ = 6376127616.

The previous prime is 13821052019. The next prime is 13821052033. The reversal of 13821052024 is 42025012831.

13821052024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13821052024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13821051983 and 13821052001.

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, 216937 + ... + 273319.

It is an arithmetic number, because the mean of its divisors is an integer number (872507160).

Almost surely, 2^13821052024 is an apocalyptic number.

It is an amenable number.

13821052024 is an abundant number, since it is smaller than the sum of its proper divisors (14099177096).

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

13821052024 is a wasteful number, since it uses less digits than its factorization.

13821052024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58759 (or 58755 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 13821052024 its reverse (42025012831), we get a palindrome (55846064855).

The spelling of 13821052024 in words is "thirteen billion, eight hundred twenty-one million, fifty-two thousand, twenty-four".