230009958513 has 12 divisors (see below), whose sum is σ = 332613731268. Its totient is φ = 153165914880.

The previous prime is 230009958509. The next prime is 230009958523. The reversal of 230009958513 is 315859900032.

230009958513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123308429409 + 106701529104 = 351153^2 + 326652^2 .

It is not a de Polignac number, because 230009958513 - 2² = 230009958509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230009958523) 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 11 ways as a sum of consecutive naturals, for example, 14496420 + ... + 14512277.

It is an arithmetic number, because the mean of its divisors is an integer number (27717810939).

Almost surely, 2^230009958513 is an apocalyptic number.

It is an amenable number.

230009958513 is a deficient number, since it is larger than the sum of its proper divisors (102603772755).

230009958513 is a wasteful number, since it uses less digits than its factorization.

230009958513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29009584 (or 29009581 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 230009958513 in words is "two hundred thirty billion, nine million, nine hundred fifty-eight thousand, five hundred thirteen".