52000800 has 144 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 13542400.

The previous prime is 52000789. The next prime is 52000801. The reversal of 52000800 is 800025.

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 52000800.

It is not an unprimeable number, because it can be changed into a prime (52000801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112570 + ... + 113030.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^52000800 is an apocalyptic number.

52000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

52000800 is an abundant number, since it is smaller than the sum of its proper divisors (121238112).

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

52000800 is a wasteful number, since it uses less digits than its factorization.

52000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52000800 is about 7211.1580207343. The cubic root of 52000800 is about 373.2530297802.

Adding to 52000800 its reverse (800025), we get a palindrome (52800825).

The spelling of 52000800 in words is "fifty-two million, eight hundred", and thus it is an aban number.