82581842133 has 36 divisors (see below), whose sum is σ = 138780858528. Its totient is φ = 47182519440.

The previous prime is 82581842113. The next prime is 82581842143. The reversal of 82581842133 is 33124818528.

82581842133 is a `hidden beast` number, since 8 + 258 + 184 + 213 + 3 = 666.

It is not a de Polignac number, because 82581842133 - 2⁹ = 82581841621 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 (82581842113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4714810 + ... + 4732292.

It is an arithmetic number, because the mean of its divisors is an integer number (3855023848).

Almost surely, 2^82581842133 is an apocalyptic number.

It is an amenable number.

82581842133 is a deficient number, since it is larger than the sum of its proper divisors (56199016395).

82581842133 is a wasteful number, since it uses less digits than its factorization.

82581842133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28214 (or 28204 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 82581842133 in words is "eighty-two billion, five hundred eighty-one million, eight hundred forty-two thousand, one hundred thirty-three".