82000033033033 has 16 divisors (see below), whose sum is σ = 83641929577360. Its totient is φ = 80375042174976.

The previous prime is 82000033033031. The next prime is 82000033033069. The reversal of 82000033033033 is 33033033000028.

It can be written as a sum of positive squares in 8 ways, for example, as 7857549009424 + 74142484023609 = 2803132^2 + 8610603^2 .

It is a cyclic number.

It is not a de Polignac number, because 82000033033033 - 2¹ = 82000033033031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82000033032992 and 82000033033010.

It is not an unprimeable number, because it can be changed into a prime (82000033033031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22552741 + ... + 25935037.

It is an arithmetic number, because the mean of its divisors is an integer number (5227620598585).

Almost surely, 2^{82000033033033} is an apocalyptic number.

It is an amenable number.

82000033033033 is a deficient number, since it is larger than the sum of its proper divisors (1641896544327).

82000033033033 is a wasteful number, since it uses less digits than its factorization.

82000033033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384796.

The product of its (nonzero) digits is 11664, while the sum is 28.

The spelling of 82000033033033 in words is "eighty-two trillion, thirty-three million, thirty-three thousand, thirty-three".