13007859302849 has 2 divisors, whose sum is σ = 13007859302850. Its totient is φ = 13007859302848.

The previous prime is 13007859302813. The next prime is 13007859302887. The reversal of 13007859302849 is 94820395870031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12792117632449 + 215741670400 = 3576607^2 + 464480^2 .

It is a cyclic number.

It is not a de Polignac number, because 13007859302849 - 2³⁶ = 12939139826113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13007859002849) 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, 6503929651424 + 6503929651425.

It is an arithmetic number, because the mean of its divisors is an integer number (6503929651425).

Almost surely, 2^{13007859302849} is an apocalyptic number.

It is an amenable number.

13007859302849 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007859302849 is an equidigital number, since it uses as much as digits as its factorization.

13007859302849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 13007859302849 in words is "thirteen trillion, seven billion, eight hundred fifty-nine million, three hundred two thousand, eight hundred forty-nine".