2553025783506 has 256 divisors, whose sum is σ = 5991526195200. Its totient is φ = 717590016000.

The previous prime is 2553025783499. The next prime is 2553025783507. The reversal of 2553025783506 is 6053875203552.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2553025783507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2897872186 + ... + 2897873066.

It is an arithmetic number, because the mean of its divisors is an integer number (23404399200).

Almost surely, 2^{2553025783506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553025783506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995763097600).

2553025783506 is an abundant number, since it is smaller than the sum of its proper divisors (3438500411694).

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

2553025783506 is a wasteful number, since it uses less digits than its factorization.

2553025783506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 2553025783506 in words is "two trillion, five hundred fifty-three billion, twenty-five million, seven hundred eighty-three thousand, five hundred six".