2553333552 has 360 divisors, whose sum is σ = 9222213312. Its totient is φ = 651974400.

The previous prime is 2553333551. The next prime is 2553333553.

2553333552 is a `hidden beast` number, since 25 + 53 + 3 + 33 + 552 = 666.

2553333552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2553333551) and next prime (2553333553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2553333551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5200027 + ... + 5200517.

Almost surely, 2^2553333552 is an apocalyptic number.

2553333552 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 2553333552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611106656).

2553333552 is an abundant number, since it is smaller than the sum of its proper divisors (6668879760).

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

2553333552 is a wasteful number, since it uses less digits than its factorization.

2553333552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its digits is 202500, while the sum is 36.

The square root of 2553333552 is about 50530.5209947414. The cubic root of 2553333552 is about 1366.7922807669.

The spelling of 2553333552 in words is "two billion, five hundred fifty-three million, three hundred thirty-three thousand, five hundred fifty-two".