509419077696 has 315 divisors, whose sum is σ = 1582258990543. Its totient is φ = 162046621440.

The previous prime is 509419077631. The next prime is 509419077701. The reversal of 509419077696 is 696770914905.

The square root of 509419077696 is 713736.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1181946601 + ... + 1181947031.

Almost surely, 2^509419077696 is an apocalyptic number.

509419077696 is the 713736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509419077696

509419077696 is an abundant number, since it is smaller than the sum of its proper divisors (1072839912847).

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

509419077696 is an frugal number, since it uses more digits than its factorization.

509419077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 509419077696 in words is "five hundred nine billion, four hundred nineteen million, seventy-seven thousand, six hundred ninety-six".