52552032 has 96 divisors (see below), whose sum is σ = 157362912. Its totient is φ = 15212544.

The previous prime is 52552021. The next prime is 52552039. The reversal of 52552032 is 23025525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 52551993 and 52552011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52552039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19978 + ... + 22454.

It is an arithmetic number, because the mean of its divisors is an integer number (1639197).

Almost surely, 2^52552032 is an apocalyptic number.

52552032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78681456).

52552032 is an abundant number, since it is smaller than the sum of its proper divisors (104810880).

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

52552032 is a wasteful number, since it uses less digits than its factorization.

52552032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 52552032 is about 7249.2780330182. The cubic root of 52552032 is about 374.5672804243.

Adding to 52552032 its reverse (23025525), we get a palindrome (75577557).

The spelling of 52552032 in words is "fifty-two million, five hundred fifty-two thousand, thirty-two".