2259616488113 has 2 divisors, whose sum is σ = 2259616488114. Its totient is φ = 2259616488112.

The previous prime is 2259616488061. The next prime is 2259616488119. The reversal of 2259616488113 is 3118846169522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1828923550129 + 430692937984 = 1352377^2 + 656272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2259616488113 - 2²⁶ = 2259549379249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2259616488119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1129808244056 + 1129808244057.

It is an arithmetic number, because the mean of its divisors is an integer number (1129808244057).

Almost surely, 2^{2259616488113} is an apocalyptic number.

It is an amenable number.

2259616488113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2259616488113 is an equidigital number, since it uses as much as digits as its factorization.

2259616488113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4976640, while the sum is 56.

The spelling of 2259616488113 in words is "two trillion, two hundred fifty-nine billion, six hundred sixteen million, four hundred eighty-eight thousand, one hundred thirteen".