52353200 has 60 divisors (see below), whose sum is σ = 133194600. Its totient is φ = 19706880.

The previous prime is 52353193. The next prime is 52353209. The reversal of 52353200 is 235325.

52353200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (52353209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2951 + ... + 10649.

It is an arithmetic number, because the mean of its divisors is an integer number (2219910).

Almost surely, 2^52353200 is an apocalyptic number.

52353200 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 52353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66597300).

52353200 is an abundant number, since it is smaller than the sum of its proper divisors (80841400).

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

52353200 is a wasteful number, since it uses less digits than its factorization.

52353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 52353200 is about 7235.5511192998. The cubic root of 52353200 is about 374.0942883322.

Adding to 52353200 its reverse (235325), we get a palindrome (52588525).

The spelling of 52353200 in words is "fifty-two million, three hundred fifty-three thousand, two hundred".