85312013 has 2 divisors, whose sum is σ = 85312014. Its totient is φ = 85312012.

The previous prime is 85311943. The next prime is 85312039. The reversal of 85312013 is 31021358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84676804 + 635209 = 9202^2 + 797^2 .

It is a cyclic number.

It is not a de Polignac number, because 85312013 - 2⁸ = 85311757 is a prime.

It is a super-2 number, since 2×85312013² = 14556279124224338, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85312013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85312813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42656006 + 42656007.

It is an arithmetic number, because the mean of its divisors is an integer number (42656007).

Almost surely, 2^85312013 is an apocalyptic number.

It is an amenable number.

85312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85312013 is an equidigital number, since it uses as much as digits as its factorization.

85312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 85312013 is about 9236.4502380514. The cubic root of 85312013 is about 440.2202977415.

The spelling of 85312013 in words is "eighty-five million, three hundred twelve thousand, thirteen".