252961235744 has 192 divisors, whose sum is σ = 599721615360. Its totient is φ = 102790702080.

The previous prime is 252961235707. The next prime is 252961235749. The reversal of 252961235744 is 447532169252.

It is a junction number, because it is equal to n+sod(n) for n = 252961235692 and 252961235701.

It is not an unprimeable number, because it can be changed into a prime (252961235749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43024997 + ... + 43030875.

It is an arithmetic number, because the mean of its divisors is an integer number (3123550080).

Almost surely, 2^252961235744 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 252961235744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299860807680).

252961235744 is an abundant number, since it is smaller than the sum of its proper divisors (346760379616).

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

252961235744 is a wasteful number, since it uses less digits than its factorization.

252961235744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6063 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 50.

The spelling of 252961235744 in words is "two hundred fifty-two billion, nine hundred sixty-one million, two hundred thirty-five thousand, seven hundred forty-four".