52505524008 has 192 divisors, whose sum is σ = 172021449600. Its totient is φ = 14133035520.

The previous prime is 52505523953. The next prime is 52505524031. The reversal of 52505524008 is 80042550525.

It is a happy number.

52505524008 is a `hidden beast` number, since 52 + 50 + 552 + 4 + 0 + 0 + 8 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1718110 + ... + 1748402.

It is an arithmetic number, because the mean of its divisors is an integer number (895945050).

Almost surely, 2^52505524008 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 52505524008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86010724800).

52505524008 is an abundant number, since it is smaller than the sum of its proper divisors (119515925592).

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

52505524008 is a wasteful number, since it uses less digits than its factorization.

52505524008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 52505524008 in words is "fifty-two billion, five hundred five million, five hundred twenty-four thousand, eight".