252553001541200 has 240 divisors, whose sum is σ = 636152242150656. Its totient is φ = 96169859174400.

The previous prime is 252553001541163. The next prime is 252553001541251. The reversal of 252553001541200 is 2145100355252.

It is a happy number.

252553001541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2567146412 + ... + 2567244788.

Almost surely, 2^{252553001541200} is an apocalyptic number.

252553001541200 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 252553001541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318076121075328).

252553001541200 is an abundant number, since it is smaller than the sum of its proper divisors (383599240609456).

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

252553001541200 is a wasteful number, since it uses less digits than its factorization.

252553001541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99742 (or 99731 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 252553001541200 its reverse (2145100355252), we get a palindrome (254698101896452).

The spelling of 252553001541200 in words is "two hundred fifty-two trillion, five hundred fifty-three billion, one million, five hundred forty-one thousand, two hundred".