52765584 has 80 divisors (see below), whose sum is σ = 146657280. Its totient is φ = 16295040.

The previous prime is 52765577. The next prime is 52765607. The reversal of 52765584 is 48556725.

It is a super-2 number, since 2×52765584² = 5568413709722112, which contains 22 as substring.

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, 42249 + ... + 43479.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2^52765584 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 52765584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).

52765584 is an abundant number, since it is smaller than the sum of its proper divisors (93891696).

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

52765584 is a wasteful number, since it uses less digits than its factorization.

52765584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 52765584 is about 7263.9922907448. The cubic root of 52765584 is about 375.0739623001.

The spelling of 52765584 in words is "fifty-two million, seven hundred sixty-five thousand, five hundred eighty-four".