82524000033 has 6 divisors (see below), whose sum is σ = 119201333394. Its totient is φ = 55016000016.

The previous prime is 82524000019. The next prime is 82524000043. The reversal of 82524000033 is 33000042528.

82524000033 is a `hidden beast` number, since 8 + 252 + 400 + 0 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82522903824 + 1096209 = 287268^2 + 1047^2 .

It is not a de Polignac number, because 82524000033 - 2¹⁰ = 82523999009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82523999970 and 82524000006.

It is not an unprimeable number, because it can be changed into a prime (82524000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4584666660 + ... + 4584666677.

It is an arithmetic number, because the mean of its divisors is an integer number (19866888899).

Almost surely, 2^82524000033 is an apocalyptic number.

It is an amenable number.

82524000033 is a deficient number, since it is larger than the sum of its proper divisors (36677333361).

82524000033 is a wasteful number, since it uses less digits than its factorization.

82524000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169333343 (or 9169333340 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 82524000033 in words is "eighty-two billion, five hundred twenty-four million, thirty-three", and thus it is an aban number.