252122245032 has 256 divisors, whose sum is σ = 791179868160. Its totient is φ = 65311432704.

The previous prime is 252122245031. The next prime is 252122245079. The reversal of 252122245032 is 230542221252.

It is a happy number.

252122245032 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 (252122245031) 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 63 ways as a sum of consecutive naturals, for example, 8950923 + ... + 8979045.

It is an arithmetic number, because the mean of its divisors is an integer number (3090546360).

Almost surely, 2^252122245032 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 252122245032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395589934080).

252122245032 is an abundant number, since it is smaller than the sum of its proper divisors (539057623128).

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

252122245032 is a wasteful number, since it uses less digits than its factorization.

252122245032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28272 (or 28268 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 252122245032 its reverse (230542221252), we get a palindrome (482664466284).

The spelling of 252122245032 in words is "two hundred fifty-two billion, one hundred twenty-two million, two hundred forty-five thousand, thirty-two".