213410009 has 2 divisors, whose sum is σ = 213410010. Its totient is φ = 213410008.

The previous prime is 213409997. The next prime is 213410011. The reversal of 213410009 is 900014312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131905225 + 81504784 = 11485^2 + 9028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213410009 is a prime.

Together with 213410011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213410069) 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 as a sum of consecutive naturals, namely, 106705004 + 106705005.

It is an arithmetic number, because the mean of its divisors is an integer number (106705005).

Almost surely, 2^213410009 is an apocalyptic number.

It is an amenable number.

213410009 is a deficient number, since it is larger than the sum of its proper divisors (1).

213410009 is an equidigital number, since it uses as much as digits as its factorization.

213410009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 213410009 is about 14608.5594430115. The cubic root of 213410009 is about 597.5922106947.

The spelling of 213410009 in words is "two hundred thirteen million, four hundred ten thousand, nine".