52509536 has 48 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 24796800.

The previous prime is 52509511. The next prime is 52509553. The reversal of 52509536 is 63590525.

It is a junction number, because it is equal to n+sod(n) for n = 52509496 and 52509505.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42041 + ... + 43271.

It is an arithmetic number, because the mean of its divisors is an integer number (2276736).

Almost surely, 2^52509536 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 52509536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

52509536 is an abundant number, since it is smaller than the sum of its proper divisors (56773792).

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

52509536 is a wasteful number, since it uses less digits than its factorization.

52509536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 52509536 is about 7246.3463897332. The cubic root of 52509536 is about 374.4662890637.

The spelling of 52509536 in words is "fifty-two million, five hundred nine thousand, five hundred thirty-six".