52580032 has 28 divisors (see below), whose sum is σ = 105176320. Its totient is φ = 26078976.

The previous prime is 52580029. The next prime is 52580041. The reversal of 52580032 is 23008525.

52580032 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 52579979 and 52580006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4894 + ... + 11362.

Almost surely, 2^52580032 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 52580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52588160).

52580032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

52580032 is a wasteful number, since it uses less digits than its factorization.

52580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 52580032 is about 7251.2090026422. The cubic root of 52580032 is about 374.6337924210.

Adding to 52580032 its reverse (23008525), we get a palindrome (75588557).

The spelling of 52580032 in words is "fifty-two million, five hundred eighty thousand, thirty-two".