8231960133 has 72 divisors (see below), whose sum is σ = 13152281688. Its totient is φ = 4940642304.

The previous prime is 8231960123. The next prime is 8231960147. The reversal of 8231960133 is 3310691328.

8231960133 is a `hidden beast` number, since 8 + 2 + 3 + 19 + 601 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2693921409 + 5538038724 = 51903^2 + 74418^2 .

It is not a de Polignac number, because 8231960133 - 2⁹ = 8231959621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8231960123) 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 71 ways as a sum of consecutive naturals, for example, 35330185 + ... + 35330417.

It is an arithmetic number, because the mean of its divisors is an integer number (182670579).

Almost surely, 2^8231960133 is an apocalyptic number.

It is an amenable number.

8231960133 is a deficient number, since it is larger than the sum of its proper divisors (4920321555).

8231960133 is a wasteful number, since it uses less digits than its factorization.

8231960133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 8231960133 is about 90730.1500770279. The cubic root of 8231960133 is about 2019.1461388920.

The spelling of 8231960133 in words is "eight billion, two hundred thirty-one million, nine hundred sixty thousand, one hundred thirty-three".