85936628032289 has 2 divisors, whose sum is σ = 85936628032290. Its totient is φ = 85936628032288.

The previous prime is 85936628032267. The next prime is 85936628032337. The reversal of 85936628032289 is 98223082663958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44177025696400 + 41759602335889 = 6646580^2 + 6462167^2 .

It is a cyclic number.

It is not a de Polignac number, because 85936628032289 - 2²⁴ = 85936611255073 is a prime.

It is not a weakly prime, because it can be changed into another prime (85936628032249) 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 as a sum of consecutive naturals, namely, 42968314016144 + 42968314016145.

It is an arithmetic number, because the mean of its divisors is an integer number (42968314016145).

Almost surely, 2^{85936628032289} is an apocalyptic number.

It is an amenable number.

85936628032289 is a deficient number, since it is larger than the sum of its proper divisors (1).

85936628032289 is an equidigital number, since it uses as much as digits as its factorization.

85936628032289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537477120, while the sum is 71.

The spelling of 85936628032289 in words is "eighty-five trillion, nine hundred thirty-six billion, six hundred twenty-eight million, thirty-two thousand, two hundred eighty-nine".