53059584 has 112 divisors (see below), whose sum is σ = 150985728. Its totient is φ = 16515072.

The previous prime is 53059583. The next prime is 53059603. The reversal of 53059584 is 48595035.

It is not an unprimeable number, because it can be changed into a prime (53059583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417729 + ... + 417855.

Almost surely, 2^53059584 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 53059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75492864).

53059584 is an abundant number, since it is smaller than the sum of its proper divisors (97926144).

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

53059584 is a wasteful number, since it uses less digits than its factorization.

53059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 53059584 is about 7284.2009856950. The cubic root of 53059584 is about 375.7692865605.

The spelling of 53059584 in words is "fifty-three million, fifty-nine thousand, five hundred eighty-four".