208805013 has 32 divisors (see below), whose sum is σ = 317896320. Its totient is φ = 135406080.

The previous prime is 208804997. The next prime is 208805029. The reversal of 208805013 is 310508802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208804997) and next prime (208805029).

It is not a de Polignac number, because 208805013 - 2⁴ = 208804997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208805083) 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 in 31 ways as a sum of consecutive naturals, for example, 159106 + ... + 160412.

It is an arithmetic number, because the mean of its divisors is an integer number (9934260).

Almost surely, 2^208805013 is an apocalyptic number.

It is an amenable number.

208805013 is a deficient number, since it is larger than the sum of its proper divisors (109091307).

208805013 is a wasteful number, since it uses less digits than its factorization.

208805013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 208805013 is about 14450.0869547557. The cubic root of 208805013 is about 593.2626039986.

The spelling of 208805013 in words is "two hundred eight million, eight hundred five thousand, thirteen".