52001632 has 72 divisors (see below), whose sum is σ = 112606200. Its totient is φ = 23569920.

The previous prime is 52001617. The next prime is 52001641. The reversal of 52001632 is 23610025.

It is a happy number.

52001632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 11 ways as a sum of consecutive naturals, for example, 584244 + ... + 584332.

It is an arithmetic number, because the mean of its divisors is an integer number (1563975).

Almost surely, 2^52001632 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 52001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56303100).

52001632 is an abundant number, since it is smaller than the sum of its proper divisors (60604568).

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

52001632 is a wasteful number, since it uses less digits than its factorization.

52001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 52001632 is about 7211.2157088802. The cubic root of 52001632 is about 373.2550204218.

Adding to 52001632 its reverse (23610025), we get a palindrome (75611657).

The spelling of 52001632 in words is "fifty-two million, one thousand, six hundred thirty-two".