5217582528 has 168 divisors, whose sum is σ = 15480225072. Its totient is φ = 1678897152.

The previous prime is 5217582527. The next prime is 5217582553. The reversal of 5217582528 is 8252857125.

5217582528 is a `hidden beast` number, since 5 + 2 + 17 + 582 + 52 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217582527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918851 + ... + 2920637.

Almost surely, 2^5217582528 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 5217582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740112536).

5217582528 is an abundant number, since it is smaller than the sum of its proper divisors (10262642544).

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

5217582528 is a wasteful number, since it uses less digits than its factorization.

5217582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1966 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 5217582528 is about 72232.8355251267. The cubic root of 5217582528 is about 1734.4286644296.

The spelling of 5217582528 in words is "five billion, two hundred seventeen million, five hundred eighty-two thousand, five hundred twenty-eight".