509640039 has 8 divisors (see below), whose sum is σ = 755022320. Its totient is φ = 339760008.

The previous prime is 509640023. The next prime is 509640101. The reversal of 509640039 is 930046905.

509640039 is a `hidden beast` number, since 5 + 0 + 9 + 640 + 0 + 3 + 9 = 666.

It is not a de Polignac number, because 509640039 - 2⁴ = 509640023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509639985 and 509640012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509642039) 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 7 ways as a sum of consecutive naturals, for example, 9437752 + ... + 9437805.

It is an arithmetic number, because the mean of its divisors is an integer number (94377790).

Almost surely, 2^509640039 is an apocalyptic number.

509640039 is a deficient number, since it is larger than the sum of its proper divisors (245382281).

509640039 is a wasteful number, since it uses less digits than its factorization.

509640039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875566 (or 18875560 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 509640039 is about 22575.2085040205. The cubic root of 509640039 is about 798.7689602940.

The spelling of 509640039 in words is "five hundred nine million, six hundred forty thousand, thirty-nine".