85086013 has 2 divisors, whose sum is σ = 85086014. Its totient is φ = 85086012.

The previous prime is 85086011. The next prime is 85086019. The reversal of 85086013 is 31068058.

85086013 = 6522² + 6523².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42549529 + 42536484 = 6523^2 + 6522^2 .

It is a cyclic number.

It is not a de Polignac number, because 85086013 - 2¹ = 85086011 is a prime.

Together with 85086011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85086011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42543006 + 42543007.

It is an arithmetic number, because the mean of its divisors is an integer number (42543007).

Almost surely, 2^85086013 is an apocalyptic number.

85086013 is the 6523-rd centered square number.

It is an amenable number.

85086013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85086013 is an equidigital number, since it uses as much as digits as its factorization.

85086013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 85086013 is about 9224.2079876811. The cubic root of 85086013 is about 439.8312248701.

The spelling of 85086013 in words is "eighty-five million, eighty-six thousand, thirteen".