209713313 has 2 divisors, whose sum is σ = 209713314. Its totient is φ = 209713312.

The previous prime is 209713291. The next prime is 209713327. The reversal of 209713313 is 313317902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207590464 + 2122849 = 14408^2 + 1457^2 .

It is a cyclic number.

It is not a de Polignac number, because 209713313 - 2²⁴ = 192936097 is a prime.

It is not a weakly prime, because it can be changed into another prime (209713363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104856656 + 104856657.

It is an arithmetic number, because the mean of its divisors is an integer number (104856657).

Almost surely, 2^209713313 is an apocalyptic number.

It is an amenable number.

209713313 is a deficient number, since it is larger than the sum of its proper divisors (1).

209713313 is an equidigital number, since it uses as much as digits as its factorization.

209713313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 209713313 is about 14481.4817266742. The cubic root of 209713313 is about 594.1215887395.

The spelling of 209713313 in words is "two hundred nine million, seven hundred thirteen thousand, three hundred thirteen".