2553113552 has 80 divisors (see below), whose sum is σ = 5499451584. Its totient is φ = 1148048000.

The previous prime is 2553113527. The next prime is 2553113569.

2553113552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150303 + ... + 2151489.

Almost surely, 2^2553113552 is an apocalyptic number.

2553113552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749725792).

2553113552 is an abundant number, since it is smaller than the sum of its proper divisors (2946338032).

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

2553113552 is a wasteful number, since it uses less digits than its factorization.

2553113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1301 counting only the distinct ones).

The product of its digits is 22500, while the sum is 32.

The square root of 2553113552 is about 50528.3440456938. The cubic root of 2553113552 is about 1366.7530245120.

The spelling of 2553113552 in words is "two billion, five hundred fifty-three million, one hundred thirteen thousand, five hundred fifty-two".