52589504 has 42 divisors (see below), whose sum is σ = 114723672. Its totient is φ = 23900800.

The previous prime is 52589489. The next prime is 52589507. The reversal of 52589504 is 40598525.

It is a super-3 number, since 3×52589504³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52589507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4349 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (2731516).

Almost surely, 2^52589504 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 52589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57361836).

52589504 is an abundant number, since it is smaller than the sum of its proper divisors (62134168).

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

52589504 is a wasteful number, since it uses less digits than its factorization.

52589504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 52589504 is about 7251.8621056940. The cubic root of 52589504 is about 374.6562871342.

The spelling of 52589504 in words is "fifty-two million, five hundred eighty-nine thousand, five hundred four".