2583840113 has 2 divisors, whose sum is σ = 2583840114. Its totient is φ = 2583840112.

The previous prime is 2583840097. The next prime is 2583840157. The reversal of 2583840113 is 3110483852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2529788209 + 54051904 = 50297^2 + 7352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583840113 - 2⁴ = 2583840097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2583840163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291920056 + 1291920057.

It is an arithmetic number, because the mean of its divisors is an integer number (1291920057).

Almost surely, 2^2583840113 is an apocalyptic number.

It is an amenable number.

2583840113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583840113 is an equidigital number, since it uses as much as digits as its factorization.

2583840113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2583840113 is about 50831.4874167577. The cubic root of 2583840113 is about 1372.2141037307.

The spelling of 2583840113 in words is "two billion, five hundred eighty-three million, eight hundred forty thousand, one hundred thirteen".