509004909 has 24 divisors (see below), whose sum is σ = 841052160. Its totient is φ = 290586528.

The previous prime is 509004799. The next prime is 509004911. The reversal of 509004909 is 909400905.

It is not a de Polignac number, because 509004909 - 2¹¹ = 509002861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509004949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77419 + ... + 83735.

It is an arithmetic number, because the mean of its divisors is an integer number (35043840).

Almost surely, 2^509004909 is an apocalyptic number.

It is an amenable number.

509004909 is a deficient number, since it is larger than the sum of its proper divisors (332047251).

509004909 is a wasteful number, since it uses less digits than its factorization.

509004909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 509004909 is about 22561.1371388944. The cubic root of 509004909 is about 798.4370050681.

The spelling of 509004909 in words is "five hundred nine million, four thousand, nine hundred nine".