252754643328 has 256 divisors, whose sum is σ = 741550118400. Its totient is φ = 75641241600.

The previous prime is 252754643303. The next prime is 252754643329. The reversal of 252754643328 is 823346457252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252754643329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247555458 + ... + 247556478.

It is an arithmetic number, because the mean of its divisors is an integer number (2896680150).

Almost surely, 2^252754643328 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 252754643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370775059200).

252754643328 is an abundant number, since it is smaller than the sum of its proper divisors (488795475072).

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

252754643328 is a wasteful number, since it uses less digits than its factorization.

252754643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1709 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 51.

The spelling of 252754643328 in words is "two hundred fifty-two billion, seven hundred fifty-four million, six hundred forty-three thousand, three hundred twenty-eight".