233813106975 has 48 divisors (see below), whose sum is σ = 467783417088. Its totient is φ = 100598576640.

The previous prime is 233813106931. The next prime is 233813106991. The reversal of 233813106975 is 579601318332.

233813106975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233813106975 - 2⁷ = 233813106847 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13089849 + ... + 13107698.

It is an arithmetic number, because the mean of its divisors is an integer number (9745487856).

Almost surely, 2^233813106975 is an apocalyptic number.

233813106975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233813106975 is an abundant number, since it is smaller than the sum of its proper divisors (233970310113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233813106975 is a wasteful number, since it uses less digits than its factorization.

233813106975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26197584 (or 26197579 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 233813106975 in words is "two hundred thirty-three billion, eight hundred thirteen million, one hundred six thousand, nine hundred seventy-five".