210080009 has 2 divisors, whose sum is σ = 210080010. Its totient is φ = 210080008.

The previous prime is 210079997. The next prime is 210080011. The reversal of 210080009 is 900080012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205836409 + 4243600 = 14347^2 + 2060^2 .

It is a cyclic number.

It is not a de Polignac number, because 210080009 - 2⁴ = 210079993 is a prime.

It is a super-2 number, since 2×210080009² = 88267220362880162, which contains 22 as substring.

Together with 210080011, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (210080029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105040004 + 105040005.

It is an arithmetic number, because the mean of its divisors is an integer number (105040005).

Almost surely, 2^210080009 is an apocalyptic number.

It is an amenable number.

210080009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210080009 is an equidigital number, since it uses as much as digits as its factorization.

210080009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 210080009 is about 14494.1370560651. The cubic root of 210080009 is about 594.4676725569.

The spelling of 210080009 in words is "two hundred ten million, eighty thousand, nine".