233679771125 has 12 divisors (see below), whose sum is σ = 291639099492. Its totient is φ = 186939493200.

The previous prime is 233679771077. The next prime is 233679771139. The reversal of 233679771125 is 521177976332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 206190462724 + 27489308401 = 454082^2 + 165799^2 .

It is not a de Polignac number, because 233679771125 - 2⁸ = 233679770869 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5383007 + ... + 5426243.

It is an arithmetic number, because the mean of its divisors is an integer number (24303258291).

Almost surely, 2^233679771125 is an apocalyptic number.

233679771125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233679771125 is a deficient number, since it is larger than the sum of its proper divisors (57959328367).

233679771125 is an frugal number, since it uses more digits than its factorization.

233679771125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86489 (or 43242 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 53.

The spelling of 233679771125 in words is "two hundred thirty-three billion, six hundred seventy-nine million, seven hundred seventy-one thousand, one hundred twenty-five".