199952009 has 2 divisors, whose sum is σ = 199952010. Its totient is φ = 199952008.

The previous prime is 199951963. The next prime is 199952047. The reversal of 199952009 is 900259991.

199952009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144672784 + 55279225 = 12028^2 + 7435^2 .

It is a cyclic number.

It is not a de Polignac number, because 199952009 - 2⁸ = 199951753 is a prime.

It is not a weakly prime, because it can be changed into another prime (199952059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99976004 + 99976005.

It is an arithmetic number, because the mean of its divisors is an integer number (99976005).

Almost surely, 2^199952009 is an apocalyptic number.

It is an amenable number.

199952009 is a deficient number, since it is larger than the sum of its proper divisors (1).

199952009 is an equidigital number, since it uses as much as digits as its factorization.

199952009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 65610, while the sum is 44.

The square root of 199952009 is about 14140.4387838567. The cubic root of 199952009 is about 584.7567683890.

The spelling of 199952009 in words is "one hundred ninety-nine million, nine hundred fifty-two thousand, nine".