509005072 has 10 divisors (see below), whose sum is σ = 986197358. Its totient is φ = 254502528.

The previous prime is 509005031. The next prime is 509005087. The reversal of 509005072 is 270500905.

It can be written as a sum of positive squares in only one way, i.e., 500148496 + 8856576 = 22364^2 + 2976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 509005072.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15906393 + ... + 15906424.

Almost surely, 2^509005072 is an apocalyptic number.

It is an amenable number.

509005072 is a deficient number, since it is larger than the sum of its proper divisors (477192286).

509005072 is a wasteful number, since it uses less digits than its factorization.

509005072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31812825 (or 31812819 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 509005072 is about 22561.1407513007. The cubic root of 509005072 is about 798.4370902966.

Adding to 509005072 its reverse (270500905), we get a palindrome (779505977).

The spelling of 509005072 in words is "five hundred nine million, five thousand, seventy-two".