252093242112 has 144 divisors (see below), whose sum is σ = 700486714368. Its totient is φ = 80333946880.

The previous prime is 252093242099. The next prime is 252093242113. The reversal of 252093242112 is 211242390252.

252093242112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252093242113) 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 15 ways as a sum of consecutive naturals, for example, 53395912 + ... + 53400632.

It is an arithmetic number, because the mean of its divisors is an integer number (4864491072).

Almost surely, 2^252093242112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252093242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350243357184).

252093242112 is an abundant number, since it is smaller than the sum of its proper divisors (448393472256).

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

252093242112 is a wasteful number, since it uses less digits than its factorization.

252093242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 252093242112 in words is "two hundred fifty-two billion, ninety-three million, two hundred forty-two thousand, one hundred twelve".