258336257 has 16 divisors (see below), whose sum is σ = 273162240. Its totient is φ = 244026432.

The previous prime is 258336251. The next prime is 258336271. The reversal of 258336257 is 752633852.

258336257 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 258336257 - 2¹² = 258332161 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258336251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201344 + ... + 202622.

It is an arithmetic number, because the mean of its divisors is an integer number (17072640).

Almost surely, 2^258336257 is an apocalyptic number.

It is an amenable number.

258336257 is a deficient number, since it is larger than the sum of its proper divisors (14825983).

258336257 is a wasteful number, since it uses less digits than its factorization.

258336257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472.

The product of its digits is 302400, while the sum is 41.

The square root of 258336257 is about 16072.8422190974. The cubic root of 258336257 is about 636.8861250453.

The spelling of 258336257 in words is "two hundred fifty-eight million, three hundred thirty-six thousand, two hundred fifty-seven".