259616448041 has 2 divisors, whose sum is σ = 259616448042. Its totient is φ = 259616448040.

The previous prime is 259616447969. The next prime is 259616448043. The reversal of 259616448041 is 140844616952.

259616448041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255526206016 + 4090242025 = 505496^2 + 63955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-259616448041 is a prime.

Together with 259616448043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (259616448043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129808224020 + 129808224021.

It is an arithmetic number, because the mean of its divisors is an integer number (129808224021).

Almost surely, 2^259616448041 is an apocalyptic number.

It is an amenable number.

259616448041 is a deficient number, since it is larger than the sum of its proper divisors (1).

259616448041 is an equidigital number, since it uses as much as digits as its factorization.

259616448041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 259616448041 in words is "two hundred fifty-nine billion, six hundred sixteen million, four hundred forty-eight thousand, forty-one".