52213584 has 80 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 16848768.

The previous prime is 52213573. The next prime is 52213597. The reversal of 52213584 is 48531225.

52213584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 291607 + ... + 291785.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^52213584 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 52213584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

52213584 is an abundant number, since it is smaller than the sum of its proper divisors (87063216).

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

52213584 is a wasteful number, since it uses less digits than its factorization.

52213584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 52213584 is about 7225.8967609564. The cubic root of 52213584 is about 373.7614462403.

The spelling of 52213584 in words is "fifty-two million, two hundred thirteen thousand, five hundred eighty-four".