208513 has 2 divisors, whose sum is σ = 208514. Its totient is φ = 208512.

The previous prime is 208511. The next prime is 208519. The reversal of 208513 is 315802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 29584 = 423^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 208513 - 2¹ = 208511 is a prime.

Together with 208511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (208511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104256 + 104257.

It is an arithmetic number, because the mean of its divisors is an integer number (104257).

2²⁰⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

208513 is a deficient number, since it is larger than the sum of its proper divisors (1).

208513 is an equidigital number, since it uses as much as digits as its factorization.

208513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 208513 is about 456.6322371449. The cubic root of 208513 is about 59.2985916494.

The spelling of 208513 in words is "two hundred eight thousand, five hundred thirteen".