252565201033200 has 720 divisors, whose sum is σ = 958261081115520. Its totient is φ = 61092921600000.

The previous prime is 252565201033193. The next prime is 252565201033247. The reversal of 252565201033200 is 2330102565252.

252565201033200 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 6 + 520 + 103 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58208156631 + ... + 58208160969.

It is an arithmetic number, because the mean of its divisors is an integer number (1330918168216).

Almost surely, 2^{252565201033200} is an apocalyptic number.

252565201033200 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 252565201033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479130540557760).

252565201033200 is an abundant number, since it is smaller than the sum of its proper divisors (705695880082320).

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

252565201033200 is a wasteful number, since it uses less digits than its factorization.

252565201033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 252565201033200 its reverse (2330102565252), we get a palindrome (254895303598452).

The spelling of 252565201033200 in words is "two hundred fifty-two trillion, five hundred sixty-five billion, two hundred one million, thirty-three thousand, two hundred".