2553403125 has 192 divisors, whose sum is σ = 5438651904. Its totient is φ = 1036800000.

The previous prime is 2553403117. The next prime is 2553403129. The reversal of 2553403125 is 5213043552.

It is not a de Polignac number, because 2553403125 - 2³ = 2553403117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2553403092 and 2553403101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553403129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34978089 + ... + 34978161.

It is an arithmetic number, because the mean of its divisors is an integer number (28326312).

Almost surely, 2^2553403125 is an apocalyptic number.

2553403125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2553403125 is an abundant number, since it is smaller than the sum of its proper divisors (2885248779).

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

2553403125 is an equidigital number, since it uses as much as digits as its factorization.

2553403125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2553403125 is about 50531.2094155681. The cubic root of 2553403125 is about 1366.8046947313.

Adding to 2553403125 its reverse (5213043552), we get a palindrome (7766446677).

The spelling of 2553403125 in words is "two billion, five hundred fifty-three million, four hundred three thousand, one hundred twenty-five".