52541384 has 96 divisors (see below), whose sum is σ = 125089920. Its totient is φ = 20224512.

The previous prime is 52541381. The next prime is 52541393. The reversal of 52541384 is 48314525.

52541384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×52541384³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52541384.

It is not an unprimeable number, because it can be changed into a prime (52541381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 464912 + ... + 465024.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^52541384 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 52541384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544960).

52541384 is an abundant number, since it is smaller than the sum of its proper divisors (72548536).

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

52541384 is a wasteful number, since it uses less digits than its factorization.

52541384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 52541384 is about 7248.5435778507. The cubic root of 52541384 is about 374.5419806617.

It can be divided in two parts, 52541 and 384, that added together give a palindrome (52925).

The spelling of 52541384 in words is "fifty-two million, five hundred forty-one thousand, three hundred eighty-four".