52338000624 has 160 divisors (see below), whose sum is σ = 166810990080. Its totient is φ = 13770003456.

The previous prime is 52338000599. The next prime is 52338000677. The reversal of 52338000624 is 42600083325.

It is a happy number.

It is a Cunningham number, because it is equal to 228775²-1.

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 31 ways as a sum of consecutive naturals, for example, 1815894 + ... + 1844490.

It is an arithmetic number, because the mean of its divisors is an integer number (1042568688).

Almost surely, 2^52338000624 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 52338000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83405495040).

52338000624 is an abundant number, since it is smaller than the sum of its proper divisors (114472989456).

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

52338000624 is a wasteful number, since it uses less digits than its factorization.

52338000624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29047 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 52338000624 its reverse (42600083325), we get a palindrome (94938083949).

The spelling of 52338000624 in words is "fifty-two billion, three hundred thirty-eight million, six hundred twenty-four", and thus it is an aban number.