259544102849 has 2 divisors, whose sum is σ = 259544102850. Its totient is φ = 259544102848.

The previous prime is 259544102819. The next prime is 259544102861. The reversal of 259544102849 is 948201445952.

259544102849 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., 208901101249 + 50643001600 = 457057^2 + 225040^2 .

It is a cyclic number.

It is not a de Polignac number, because 259544102849 - 2⁸ = 259544102593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 259544102849.

It is not a weakly prime, because it can be changed into another prime (259544102809) 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, 129772051424 + 129772051425.

It is an arithmetic number, because the mean of its divisors is an integer number (129772051425).

Almost surely, 2^259544102849 is an apocalyptic number.

It is an amenable number.

259544102849 is a deficient number, since it is larger than the sum of its proper divisors (1).

259544102849 is an equidigital number, since it uses as much as digits as its factorization.

259544102849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 259544102849 in words is "two hundred fifty-nine billion, five hundred forty-four million, one hundred two thousand, eight hundred forty-nine".