208827216113 has 18 divisors (see below), whose sum is σ = 223012564866. Its totient is φ = 194867467264.

The previous prime is 208827216097. The next prime is 208827216127. The reversal of 208827216113 is 311612728802.

It can be written as a sum of positive squares in 9 ways, for example, as 15382944784 + 193444271329 = 124028^2 + 439823^2 .

It is not a de Polignac number, because 208827216113 - 2⁴ = 208827216097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (208827216133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 258129653 + ... + 258130461.

It is an arithmetic number, because the mean of its divisors is an integer number (12389586937).

Almost surely, 2^208827216113 is an apocalyptic number.

It is an amenable number.

208827216113 is a deficient number, since it is larger than the sum of its proper divisors (14185348753).

208827216113 is an frugal number, since it uses more digits than its factorization.

208827216113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 208827216113 in words is "two hundred eight billion, eight hundred twenty-seven million, two hundred sixteen thousand, one hundred thirteen".