259888525888953 has 96 divisors (see below), whose sum is σ = 400479719930496. Its totient is φ = 149320456556544.

The previous prime is 259888525888843. The next prime is 259888525889077. The reversal of 259888525888953 is 359888525888952.

It is not a de Polignac number, because 259888525888953 - 2¹⁰ = 259888525887929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259888525888553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829344526 + ... + 829657832.

It is an arithmetic number, because the mean of its divisors is an integer number (4171663749276).

Almost surely, 2^{259888525888953} is an apocalyptic number.

It is an amenable number.

259888525888953 is a deficient number, since it is larger than the sum of its proper divisors (140591194041543).

259888525888953 is a wasteful number, since it uses less digits than its factorization.

259888525888953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314123 (or 314110 counting only the distinct ones).

The product of its digits is 159252480000, while the sum is 93.

Subtracting 259888525888953 from its reverse (359888525888952), we obtain a palindrome (99999999999999).

The spelling of 259888525888953 in words is "two hundred fifty-nine trillion, eight hundred eighty-eight billion, five hundred twenty-five million, eight hundred eighty-eight thousand, nine hundred fifty-three".