509975697 has 32 divisors (see below), whose sum is σ = 850397184. Its totient is φ = 264096000.

The previous prime is 509975689. The next prime is 509975729. The reversal of 509975697 is 796579905.

It is not a de Polignac number, because 509975697 - 2³ = 509975689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509975617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74572 + ... + 81122.

It is an arithmetic number, because the mean of its divisors is an integer number (26574912).

Almost surely, 2^509975697 is an apocalyptic number.

It is an amenable number.

509975697 is a deficient number, since it is larger than the sum of its proper divisors (340421487).

509975697 is a wasteful number, since it uses less digits than its factorization.

509975697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909.

The product of its (nonzero) digits is 5358150, while the sum is 57.

The square root of 509975697 is about 22582.6414973980. The cubic root of 509975697 is about 798.9442829606.

The spelling of 509975697 in words is "five hundred nine million, nine hundred seventy-five thousand, six hundred ninety-seven".