2583411882117 has 16 divisors (see below), whose sum is σ = 3757900528128. Its totient is φ = 1565616455280.

The previous prime is 2583411882109. The next prime is 2583411882169. The reversal of 2583411882117 is 7112881143852.

It is not a de Polignac number, because 2583411882117 - 2³ = 2583411882109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2583411882117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583411882217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592473 + ... + 2775390.

It is an arithmetic number, because the mean of its divisors is an integer number (234868783008).

Almost surely, 2^{2583411882117} is an apocalyptic number.

It is an amenable number.

2583411882117 is a deficient number, since it is larger than the sum of its proper divisors (1174488646011).

2583411882117 is a wasteful number, since it uses less digits than its factorization.

2583411882117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385800.

The product of its digits is 860160, while the sum is 51.

The spelling of 2583411882117 in words is "two trillion, five hundred eighty-three billion, four hundred eleven million, eight hundred eighty-two thousand, one hundred seventeen".