82577550328033 has 2 divisors, whose sum is σ = 82577550328034. Its totient is φ = 82577550328032.

The previous prime is 82577550327949. The next prime is 82577550328061. The reversal of 82577550328033 is 33082305577528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69111754969104 + 13465795358929 = 8313348^2 + 3669577^2 .

It is a cyclic number.

It is not a de Polignac number, because 82577550328033 - 2²⁹ = 82577013457121 is a prime.

It is not a weakly prime, because it can be changed into another prime (82577550328093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41288775164016 + 41288775164017.

It is an arithmetic number, because the mean of its divisors is an integer number (41288775164017).

Almost surely, 2^{82577550328033} is an apocalyptic number.

It is an amenable number.

82577550328033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82577550328033 is an equidigital number, since it uses as much as digits as its factorization.

82577550328033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 82577550328033 in words is "eighty-two trillion, five hundred seventy-seven billion, five hundred fifty million, three hundred twenty-eight thousand, thirty-three".