509499019264 has 117 divisors (see below), whose sum is σ = 1077155956047. Its totient is φ = 240930496512.

The previous prime is 509499019229. The next prime is 509499019291. The reversal of 509499019264 is 462910994905.

The square root of 509499019264 is 713792.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509499019199 and 509499019208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 867970779 + ... + 867971365.

Almost surely, 2^509499019264 is an apocalyptic number.

509499019264 is the 713792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509499019264

509499019264 is an abundant number, since it is smaller than the sum of its proper divisors (567656936783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509499019264 is an frugal number, since it uses more digits than its factorization.

509499019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 58.

The spelling of 509499019264 in words is "five hundred nine billion, four hundred ninety-nine million, nineteen thousand, two hundred sixty-four".