610009009 has 2 divisors, whose sum is σ = 610009010. Its totient is φ = 610009008.

The previous prime is 610008991. The next prime is 610009027. The reversal of 610009009 is 900900016.

It is a balanced prime because it is at equal distance from previous prime (610008991) and next prime (610009027).

It can be written as a sum of positive squares in only one way, i.e., 563017984 + 46991025 = 23728^2 + 6855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-610009009 is a prime.

It is a super-2 number, since 2×610009009² = 744221982122324162, which contains 22 as substring.

610009009 is a modest number, since divided by 9009 gives 610 as remainder.

It is not a weakly prime, because it can be changed into another prime (610009039) 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, 305004504 + 305004505.

It is an arithmetic number, because the mean of its divisors is an integer number (305004505).

Almost surely, 2^610009009 is an apocalyptic number.

It is an amenable number.

610009009 is a deficient number, since it is larger than the sum of its proper divisors (1).

610009009 is an equidigital number, since it uses as much as digits as its factorization.

610009009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 610009009 is about 24698.3604516575. The cubic root of 610009009 is about 848.0967839465.

The spelling of 610009009 in words is "six hundred ten million, nine thousand, nine".