208510013 has 2 divisors, whose sum is σ = 208510014. Its totient is φ = 208510012.

The previous prime is 208509923. The next prime is 208510037. The reversal of 208510013 is 310015802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157201444 + 51308569 = 12538^2 + 7163^2 .

It is a cyclic number.

It is not a de Polignac number, because 208510013 - 2¹⁴ = 208493629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208510063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104255006 + 104255007.

It is an arithmetic number, because the mean of its divisors is an integer number (104255007).

Almost surely, 2^208510013 is an apocalyptic number.

It is an amenable number.

208510013 is a deficient number, since it is larger than the sum of its proper divisors (1).

208510013 is an equidigital number, since it uses as much as digits as its factorization.

208510013 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 20.

The square root of 208510013 is about 14439.8757958647. The cubic root of 208510013 is about 592.9830849237.

Adding to 208510013 its reverse (310015802), we get a palindrome (518525815).

The spelling of 208510013 in words is "two hundred eight million, five hundred ten thousand, thirteen".