252333325200 has 240 divisors, whose sum is σ = 905624197056. Its totient is φ = 59518310400.

The previous prime is 252333325187. The next prime is 252333325201. The reversal of 252333325200 is 2523333252.

252333325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (252333325201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230074 + ... + 746726.

Almost surely, 2^252333325200 is an apocalyptic number.

252333325200 is a gapful number since it is divisible by the number (20) 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 252333325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452812098528).

252333325200 is an abundant number, since it is smaller than the sum of its proper divisors (653290871856).

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

252333325200 is a wasteful number, since it uses less digits than its factorization.

252333325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516722 (or 516711 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 252333325200 its reverse (2523333252), we get a palindrome (254856658452).

252333325200 divided by its reverse (2523333252) gives a square (100 = 10²).

The spelling of 252333325200 in words is "two hundred fifty-two billion, three hundred thirty-three million, three hundred twenty-five thousand, two hundred".