252125115132000 has 768 divisors, whose sum is σ = 940442790583296. Its totient is φ = 58505308160000.

The previous prime is 252125115131963. The next prime is 252125115132013. The reversal of 252125115132000 is 231511521252.

252125115132000 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286396507 + ... + 287275493.

It is an arithmetic number, because the mean of its divisors is an integer number (1224534883572).

Almost surely, 2^{252125115132000} is an apocalyptic number.

252125115132000 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 252125115132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470221395291648).

252125115132000 is an abundant number, since it is smaller than the sum of its proper divisors (688317675451296).

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

252125115132000 is a wasteful number, since it uses less digits than its factorization.

252125115132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879120 (or 879102 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 252125115132000 its reverse (231511521252), we get a palindrome (252356626653252).

The spelling of 252125115132000 in words is "two hundred fifty-two trillion, one hundred twenty-five billion, one hundred fifteen million, one hundred thirty-two thousand".