258120031105 has 16 divisors (see below), whose sum is σ = 327701436480. Its totient is φ = 194634764352.

The previous prime is 258120031049. The next prime is 258120031129. The reversal of 258120031105 is 501130021852.

258120031105 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 258120031105 - 2⁹ = 258120030593 is a prime.

258120031105 is strictly pandigital in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6877359 + ... + 6914788.

It is an arithmetic number, because the mean of its divisors is an integer number (20481339780).

Almost surely, 2^258120031105 is an apocalyptic number.

It is an amenable number.

258120031105 is a deficient number, since it is larger than the sum of its proper divisors (69581405375).

258120031105 is a wasteful number, since it uses less digits than its factorization.

258120031105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792368.

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 258120031105 its reverse (501130021852), we get a palindrome (759250052957).

The spelling of 258120031105 in words is "two hundred fifty-eight billion, one hundred twenty million, thirty-one thousand, one hundred five".