258185338113 has 32 divisors (see below), whose sum is σ = 348846325632. Its totient is φ = 169839129600.

The previous prime is 258185338087. The next prime is 258185338139. The reversal of 258185338113 is 311833581852.

It is an interprime number because it is at equal distance from previous prime (258185338087) and next prime (258185338139).

It is not a de Polignac number, because 258185338113 - 2⁶ = 258185338049 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (258185338193) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138733803 + ... + 138735663.

It is an arithmetic number, because the mean of its divisors is an integer number (10901447676).

Almost surely, 2^258185338113 is an apocalyptic number.

It is an amenable number.

258185338113 is a deficient number, since it is larger than the sum of its proper divisors (90660987519).

258185338113 is a wasteful number, since it uses less digits than its factorization.

258185338113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585.

The product of its digits is 691200, while the sum is 48.

The spelling of 258185338113 in words is "two hundred fifty-eight billion, one hundred eighty-five million, three hundred thirty-eight thousand, one hundred thirteen".