2553002500 has 60 divisors (see below), whose sum is σ = 5674767868. Its totient is φ = 1004400000.

The previous prime is 2553002471. The next prime is 2553002503. The reversal of 2553002500 is 52003552.

It can be written as a sum of positive squares in 10 ways, for example, as 1933888576 + 619113924 = 43976^2 + 24882^2 .

It is not an unprimeable number, because it can be changed into a prime (2553002503) 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 19 ways as a sum of consecutive naturals, for example, 144130 + ... + 160870.

Almost surely, 2^2553002500 is an apocalyptic number.

2553002500 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 2553002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837383934).

2553002500 is an abundant number, since it is smaller than the sum of its proper divisors (3121765368).

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

2553002500 is a wasteful number, since it uses less digits than its factorization.

2553002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16826 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 2553002500 is about 50527.2451257735. The cubic root of 2553002500 is about 1366.7332078118.

The spelling of 2553002500 in words is "two billion, five hundred fifty-three million, two thousand, five hundred".