52182102528 has 200 divisors, whose sum is σ = 159553811340. Its totient is φ = 16969236480.

The previous prime is 52182102473. The next prime is 52182102559. The reversal of 52182102528 is 82520128125.

52182102528 is a `hidden beast` number, since 5 + 21 + 8 + 2 + 102 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51962114304 + 219988224 = 227952^2 + 14832^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 52182102492 and 52182102501.

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 19 ways as a sum of consecutive naturals, for example, 1685008 + ... + 1715696.

Almost surely, 2^52182102528 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 52182102528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79776905670).

52182102528 is an abundant number, since it is smaller than the sum of its proper divisors (107371708812).

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

52182102528 is an equidigital number, since it uses as much as digits as its factorization.

52182102528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30760 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 52182102528 in words is "fifty-two billion, one hundred eighty-two million, one hundred two thousand, five hundred twenty-eight".