13258768900259 has 16 divisors (see below), whose sum is σ = 13820708788224. Its totient is φ = 12705243379200.

The previous prime is 13258768900213. The next prime is 13258768900303. The reversal of 13258768900259 is 95200986785231.

It is a cyclic number.

It is not a de Polignac number, because 13258768900259 - 2²⁰ = 13258767851683 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13258768900195 and 13258768900204.

It is not an unprimeable number, because it can be changed into a prime (13258768902259) 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 in 15 ways as a sum of consecutive naturals, for example, 33113564 + ... + 33511574.

It is an arithmetic number, because the mean of its divisors is an integer number (863794299264).

Almost surely, 2^{13258768900259} is an apocalyptic number.

13258768900259 is a deficient number, since it is larger than the sum of its proper divisors (561939887965).

13258768900259 is a wasteful number, since it uses less digits than its factorization.

13258768900259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408578.

The product of its (nonzero) digits is 65318400, while the sum is 65.

The spelling of 13258768900259 in words is "thirteen trillion, two hundred fifty-eight billion, seven hundred sixty-eight million, nine hundred thousand, two hundred fifty-nine".