259081388640361 has 32 divisors (see below), whose sum is σ = 319381449004800. Its totient is φ = 205184582507520.

The previous prime is 259081388640341. The next prime is 259081388640367. The reversal of 259081388640361 is 163046883180952.

It is not a de Polignac number, because 259081388640361 - 2⁵ = 259081388640329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259081388640293 and 259081388640302.

It is not an unprimeable number, because it can be changed into a prime (259081388640367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9312381 + ... + 24594373.

It is an arithmetic number, because the mean of its divisors is an integer number (9980670281400).

Almost surely, 2^{259081388640361} is an apocalyptic number.

It is an amenable number.

259081388640361 is a deficient number, since it is larger than the sum of its proper divisors (60300060364439).

259081388640361 is a wasteful number, since it uses less digits than its factorization.

259081388640361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15285169.

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 259081388640361 in words is "two hundred fifty-nine trillion, eighty-one billion, three hundred eighty-eight million, six hundred forty thousand, three hundred sixty-one".