517720542784 has 63 divisors (see below), whose sum is σ = 1047718826707. Its totient is φ = 253826453504.

The previous prime is 517720542767. The next prime is 517720542841. The reversal of 517720542784 is 487245027715.

It is a happy number.

The square root of 517720542784 is 719528.

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

It can be written as a sum of positive squares in 4 ways, for example, as 276600261184 + 241120281600 = 525928^2 + 491040^2 .

It is a Duffinian number.

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, 305079024 + ... + 305080720.

Almost surely, 2^517720542784 is an apocalyptic number.

517720542784 is the 719528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517720542784

517720542784 is an abundant number, since it is smaller than the sum of its proper divisors (529998283923).

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

517720542784 is an frugal number, since it uses more digits than its factorization.

517720542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 52.

The spelling of 517720542784 in words is "five hundred seventeen billion, seven hundred twenty million, five hundred forty-two thousand, seven hundred eighty-four".