52005120 has 144 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 13361152.

The previous prime is 52005119. The next prime is 52005169. The reversal of 52005120 is 2150025.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52005120.

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, 111127 + ... + 111593.

It is an arithmetic number, because the mean of its divisors is an integer number (1195740).

Almost surely, 2^52005120 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 52005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

52005120 is an abundant number, since it is smaller than the sum of its proper divisors (120181440).

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

52005120 is a wasteful number, since it uses less digits than its factorization.

52005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 52005120 is about 7211.4575503153. The cubic root of 52005120 is about 373.2633655727.

Adding to 52005120 its reverse (2150025), we get a palindrome (54155145).

It can be divided in two parts, 52005 and 120, that added together give a palindrome (52125).

The spelling of 52005120 in words is "fifty-two million, five thousand, one hundred twenty".