517057350489 has 9 divisors (see below), whose sum is σ = 746863733343. Its totient is φ = 344703462192.

The previous prime is 517057350451. The next prime is 517057350499. The reversal of 517057350489 is 984053750715.

The square root of 517057350489 is 719067.

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

517057350489 is a `hidden beast` number, since 5 + 1 + 7 + 0 + 57 + 3 + 504 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 463307564889 + 53749785600 = 680667^2 + 231840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 517057350489 - 2⁷ = 517057350361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (517057350499) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2037357 + ... + 2277045.

Almost surely, 2^517057350489 is an apocalyptic number.

517057350489 is the 719067-th square number.

517057350489 is the 359534-th centered octagonal number.

It is an amenable number.

517057350489 is a deficient number, since it is larger than the sum of its proper divisors (229806382854).

517057350489 is an frugal number, since it uses more digits than its factorization.

517057350489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479384 (or 239692 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 517057350489 in words is "five hundred seventeen billion, fifty-seven million, three hundred fifty thousand, four hundred eighty-nine".