52513264224 has 192 divisors, whose sum is σ = 157609287360. Its totient is φ = 17216064000.

The previous prime is 52513264103. The next prime is 52513264241. The reversal of 52513264224 is 42246231525.

52513264224 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 3 + 2 + 642 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4262874 + ... + 4275174.

It is an arithmetic number, because the mean of its divisors is an integer number (820881705).

Almost surely, 2^52513264224 is an apocalyptic number.

52513264224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52513264224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78804643680).

52513264224 is an abundant number, since it is smaller than the sum of its proper divisors (105096023136).

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

52513264224 is an equidigital number, since it uses as much as digits as its factorization.

52513264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12393 (or 12367 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 52513264224 its reverse (42246231525), we get a palindrome (94759495749).

The spelling of 52513264224 in words is "fifty-two billion, five hundred thirteen million, two hundred sixty-four thousand, two hundred twenty-four".