509707 has 4 divisors (see below), whose sum is σ = 556056. Its totient is φ = 463360.

The previous prime is 509699. The next prime is 509723. The reversal of 509707 is 707905.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 509707 - 2³ = 509699 is a prime.

It is a Duffinian number.

509707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (509737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23158 + ... + 23179.

It is an arithmetic number, because the mean of its divisors is an integer number (139014).

2⁵⁰⁹⁷⁰⁷ is an apocalyptic number.

509707 is a deficient number, since it is larger than the sum of its proper divisors (46349).

509707 is a wasteful number, since it uses less digits than its factorization.

509707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46348.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 509707 is about 713.9376723496. The cubic root of 509707 is about 79.8803941864.

The spelling of 509707 in words is "five hundred nine thousand, seven hundred seven".