509734928672 has 18 divisors (see below), whose sum is σ = 1003548592179. Its totient is φ = 254865444960.

The previous prime is 509734928657. The next prime is 509734928693. The reversal of 509734928672 is 276829437905.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 254867464336 + 254867464336 = 504844^2 + 504844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=504844.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 3975647 + ... + 4101857.

Almost surely, 2^509734928672 is an apocalyptic number.

It is an amenable number.

509734928672 is a deficient number, since it is larger than the sum of its proper divisors (493813663507).

509734928672 is an frugal number, since it uses more digits than its factorization.

509734928672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252432 (or 126213 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 509734928672 in words is "five hundred nine billion, seven hundred thirty-four million, nine hundred twenty-eight thousand, six hundred seventy-two".