52580820 has 48 divisors (see below), whose sum is σ = 149103360. Its totient is φ = 13842816.

The previous prime is 52580807. The next prime is 52580831. The reversal of 52580820 is 2808525.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 807 + ... + 10286.

It is an arithmetic number, because the mean of its divisors is an integer number (3106320).

Almost surely, 2^52580820 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 52580820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74551680).

52580820 is an abundant number, since it is smaller than the sum of its proper divisors (96522540).

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

52580820 is a wasteful number, since it uses less digits than its factorization.

52580820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 52580820 is about 7251.2633382053. The cubic root of 52580820 is about 374.6356639170.

The spelling of 52580820 in words is "fifty-two million, five hundred eighty thousand, eight hundred twenty".