2553125200 has 120 divisors (see below), whose sum is σ = 6419287800. Its totient is φ = 974561280.

The previous prime is 2553125153. The next prime is 2553125207. The reversal of 2553125200 is 25213552.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 720600336 + 1832524864 = 26844^2 + 42808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553125207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031164 + ... + 1033636.

It is an arithmetic number, because the mean of its divisors is an integer number (53494065).

Almost surely, 2^2553125200 is an apocalyptic number.

2553125200 is a gapful number since it is divisible by the number (20) 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 2553125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209643900).

2553125200 is an abundant number, since it is smaller than the sum of its proper divisors (3866162600).

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

2553125200 is a wasteful number, since it uses less digits than its factorization.

2553125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2553125200 is about 50528.4593076021. The cubic root of 2553125200 is about 1366.7551030088.

Adding to 2553125200 its reverse (25213552), we get a palindrome (2578338752).

The spelling of 2553125200 in words is "two billion, five hundred fifty-three million, one hundred twenty-five thousand, two hundred".