82636838528257 has 8 divisors (see below), whose sum is σ = 88994411236584. Its totient is φ = 76279393365888.

The previous prime is 82636838528249. The next prime is 82636838528281. The reversal of 82636838528257 is 75282583863628.

It can be written as a sum of positive squares in 4 ways, for example, as 16368788938896 + 66268049589361 = 4045836^2 + 8140519^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82636838528257 - 2³ = 82636838528249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82636838528257.

It is not an unprimeable number, because it can be changed into a prime (82636838528207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30538738 + ... + 33134395.

It is an arithmetic number, because the mean of its divisors is an integer number (11124301404573).

Almost surely, 2^{82636838528257} is an apocalyptic number.

It is an amenable number.

82636838528257 is a deficient number, since it is larger than the sum of its proper divisors (6357572708327).

82636838528257 is a wasteful number, since it uses less digits than its factorization.

82636838528257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63772979.

The product of its digits is 1857945600, while the sum is 73.

The spelling of 82636838528257 in words is "eighty-two trillion, six hundred thirty-six billion, eight hundred thirty-eight million, five hundred twenty-eight thousand, two hundred fifty-seven".