52545584 has 80 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 20563200.

The previous prime is 52545551. The next prime is 52545599. The reversal of 52545584 is 48554525.

52545584 = 127² + 128² + ... + 542².

It is a super-2 number, since 2×52545584² = 5522076795802112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219737 + ... + 219975.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^52545584 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 52545584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

52545584 is an abundant number, since it is smaller than the sum of its proper divisors (74112976).

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

52545584 is a wasteful number, since it uses less digits than its factorization.

52545584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The square root of 52545584 is about 7248.8332854329. The cubic root of 52545584 is about 374.5519603151.

The spelling of 52545584 in words is "fifty-two million, five hundred forty-five thousand, five hundred eighty-four".