2553253200 has 90 divisors (see below), whose sum is σ = 8860510334. Its totient is φ = 680866560.

The previous prime is 2553253189. The next prime is 2553253243. The reversal of 2553253200 is 23523552.

It can be written as a sum of positive squares in 3 ways, for example, as 320123664 + 2233129536 = 17892^2 + 47256^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 351019 + ... + 358218.

Almost surely, 2^2553253200 is an apocalyptic number.

2553253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553253200 is an abundant number, since it is smaller than the sum of its proper divisors (6307257134).

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

2553253200 is a wasteful number, since it uses less digits than its factorization.

2553253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709261 (or 709247 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2553253200 is about 50529.7259046593. The cubic root of 2553253200 is about 1366.7779432165. Note that the first 3 decimals are identical.

Adding to 2553253200 its reverse (23523552), we get a palindrome (2576776752).

The spelling of 2553253200 in words is "two billion, five hundred fifty-three million, two hundred fifty-three thousand, two hundred".