252523321200 has 240 divisors, whose sum is σ = 899347006560. Its totient is φ = 67298273280.

The previous prime is 252523321189. The next prime is 252523321217. The reversal of 252523321200 is 2123325252.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20265372 + ... + 20277828.

It is an arithmetic number, because the mean of its divisors is an integer number (3747279194).

Almost surely, 2^252523321200 is an apocalyptic number.

252523321200 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 252523321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449673503280).

252523321200 is an abundant number, since it is smaller than the sum of its proper divisors (646823685360).

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

252523321200 is a wasteful number, since it uses less digits than its factorization.

252523321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 252523321200 its reverse (2123325252), we get a palindrome (254646646452).

The spelling of 252523321200 in words is "two hundred fifty-two billion, five hundred twenty-three million, three hundred twenty-one thousand, two hundred".