610006009 has 2 divisors, whose sum is σ = 610006010. Its totient is φ = 610006008.

The previous prime is 610005971. The next prime is 610006027. The reversal of 610006009 is 900600016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 577344784 + 32661225 = 24028^2 + 5715^2 .

It is a cyclic number.

It is not a de Polignac number, because 610006009 - 2⁹ = 610005497 is a prime.

It is a super-2 number, since 2×610006009² = 744214662032216162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (610006049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305003004 + 305003005.

It is an arithmetic number, because the mean of its divisors is an integer number (305003005).

Almost surely, 2^610006009 is an apocalyptic number.

It is an amenable number.

610006009 is a deficient number, since it is larger than the sum of its proper divisors (1).

610006009 is an equidigital number, since it uses as much as digits as its factorization.

610006009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 610006009 is about 24698.2997188066. The cubic root of 610006009 is about 848.0953936421.

The spelling of 610006009 in words is "six hundred ten million, six thousand, nine".