509136688304 has 40 divisors (see below), whose sum is σ = 994275648000. Its totient is φ = 252551756288.

The previous prime is 509136688301. The next prime is 509136688321. The reversal of 509136688304 is 403886631905.

It is not an unprimeable number, because it can be changed into a prime (509136688301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463697 + ... + 3607695.

It is an arithmetic number, because the mean of its divisors is an integer number (24856891200).

Almost surely, 2^509136688304 is an apocalyptic number.

It is an amenable number.

509136688304 is a deficient number, since it is larger than the sum of its proper divisors (485138959696).

509136688304 is a wasteful number, since it uses less digits than its factorization.

509136688304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145757 (or 145751 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 509136688304 in words is "five hundred nine billion, one hundred thirty-six million, six hundred eighty-eight thousand, three hundred four".