2553350533552 has 160 divisors (see below), whose sum is σ = 6240844560384. Its totient is φ = 985184640000.

The previous prime is 2553350533549. The next prime is 2553350533579.

2553350533552 is nontrivially palindromic in base 10.

2553350533552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9723177 + ... + 9982327.

Almost surely, 2^{2553350533552} 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 2553350533552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120422280192).

2553350533552 is an abundant number, since it is smaller than the sum of its proper divisors (3687494026832).

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

2553350533552 is a wasteful number, since it uses less digits than its factorization.

2553350533552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259347 (or 259341 counting only the distinct ones).

The product of its (nonzero) digits is 5062500, while the sum is 46.

The spelling of 2553350533552 in words is "two trillion, five hundred fifty-three billion, three hundred fifty million, five hundred thirty-three thousand, five hundred fifty-two".