13052333220624 has 400 divisors, whose sum is σ = 38692387219200. Its totient is φ = 4246821715968.

The previous prime is 13052333220623. The next prime is 13052333220679. The reversal of 13052333220624 is 42602233325031.

It is a happy number.

13052333220624 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 3 + 3 + 3 + 2 + 20 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13052333220623) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6439235899 + ... + 6439237925.

It is an arithmetic number, because the mean of its divisors is an integer number (96730968048).

Almost surely, 2^{13052333220624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13052333220624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346193609600).

13052333220624 is an abundant number, since it is smaller than the sum of its proper divisors (25640053998576).

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

13052333220624 is a wasteful number, since it uses less digits than its factorization.

13052333220624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13052333220624 its reverse (42602233325031), we get a palindrome (55654566545655).

The spelling of 13052333220624 in words is "thirteen trillion, fifty-two billion, three hundred thirty-three million, two hundred twenty thousand, six hundred twenty-four".