509512 has 8 divisors (see below), whose sum is σ = 955350. Its totient is φ = 254752.

The previous prime is 509477. The next prime is 509513. The reversal of 509512 is 215905.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 81796 = 654^2 + 286^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (509513) by changing a digit.

509512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31837 + ... + 31852.

2⁵⁰⁹⁵¹² is an apocalyptic number.

It is an amenable number.

509512 is a deficient number, since it is larger than the sum of its proper divisors (445838).

509512 is a wasteful number, since it uses less digits than its factorization.

509512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63695 (or 63691 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 509512 is about 713.8010927422. The cubic root of 509512 is about 79.8702062002.

The spelling of 509512 in words is "five hundred nine thousand, five hundred twelve".