2583825342256 has 80 divisors (see below), whose sum is σ = 5409638136000. Its totient is φ = 1192550261760.

The previous prime is 2583825342239. The next prime is 2583825342257. The reversal of 2583825342256 is 6522435283852.

It is a junction number, because it is equal to n+sod(n) for n = 2583825342197 and 2583825342206.

It is not an unprimeable number, because it can be changed into a prime (2583825342257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103870 + ... + 2275618.

It is an arithmetic number, because the mean of its divisors is an integer number (67620476700).

Almost surely, 2^{2583825342256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2583825342256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704819068000).

2583825342256 is an abundant number, since it is smaller than the sum of its proper divisors (2825812793744).

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

2583825342256 is a wasteful number, since it uses less digits than its factorization.

2583825342256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171894 (or 2171888 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 55.

The spelling of 2583825342256 in words is "two trillion, five hundred eighty-three billion, eight hundred twenty-five million, three hundred forty-two thousand, two hundred fifty-six".