85685513 has 2 divisors, whose sum is σ = 85685514. Its totient is φ = 85685512.

The previous prime is 85685489. The next prime is 85685521. The reversal of 85685513 is 31558658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 21557449 = 8008^2 + 4643^2 .

It is a cyclic number.

It is not a de Polignac number, because 85685513 - 2²⁴ = 68908297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85685543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42842756 + 42842757.

It is an arithmetic number, because the mean of its divisors is an integer number (42842757).

Almost surely, 2^85685513 is an apocalyptic number.

It is an amenable number.

85685513 is a deficient number, since it is larger than the sum of its proper divisors (1).

85685513 is an equidigital number, since it uses as much as digits as its factorization.

85685513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144000, while the sum is 41.

The square root of 85685513 is about 9256.6469631287. The cubic root of 85685513 is about 440.8617975251.

The spelling of 85685513 in words is "eighty-five million, six hundred eighty-five thousand, five hundred thirteen".