258347480833 has 16 divisors (see below), whose sum is σ = 282619471680. Its totient is φ = 234725304384.

The previous prime is 258347480803. The next prime is 258347480849. The reversal of 258347480833 is 338084743852.

It is a happy number.

258347480833 is digitally balanced in base 2, 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 258347480833 - 2¹⁷ = 258347349761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258347480803) 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, 154791 + ... + 735292.

It is an arithmetic number, because the mean of its divisors is an integer number (17663716980).

Almost surely, 2^258347480833 is an apocalyptic number.

It is an amenable number.

258347480833 is a deficient number, since it is larger than the sum of its proper divisors (24271990847).

258347480833 is a wasteful number, since it uses less digits than its factorization.

258347480833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890448.

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 258347480833 in words is "two hundred fifty-eight billion, three hundred forty-seven million, four hundred eighty thousand, eight hundred thirty-three".