85953984209 has 2 divisors, whose sum is σ = 85953984210. Its totient is φ = 85953984208.

The previous prime is 85953984197. The next prime is 85953984283. The reversal of 85953984209 is 90248935958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85876544209 + 77440000 = 293047^2 + 8800^2 .

It is a cyclic number.

It is not a de Polignac number, because 85953984209 - 2³⁶ = 17234507473 is a prime.

It is not a weakly prime, because it can be changed into another prime (85953981209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42976992104 + 42976992105.

It is an arithmetic number, because the mean of its divisors is an integer number (42976992105).

Almost surely, 2^85953984209 is an apocalyptic number.

It is an amenable number.

85953984209 is a deficient number, since it is larger than the sum of its proper divisors (1).

85953984209 is an equidigital number, since it uses as much as digits as its factorization.

85953984209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27993600, while the sum is 62.

The spelling of 85953984209 in words is "eighty-five billion, nine hundred fifty-three million, nine hundred eighty-four thousand, two hundred nine".