516544605505 has 16 divisors (see below), whose sum is σ = 622218265344. Its totient is φ = 411659573760.

The previous prime is 516544605503. The next prime is 516544605517. The reversal of 516544605505 is 505506445615.

It is a happy number.

It is not a de Polignac number, because 516544605505 - 2¹ = 516544605503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516544605503) 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 15 ways as a sum of consecutive naturals, for example, 13860657 + ... + 13897873.

It is an arithmetic number, because the mean of its divisors is an integer number (38888641584).

Almost surely, 2^516544605505 is an apocalyptic number.

It is an amenable number.

516544605505 is a deficient number, since it is larger than the sum of its proper divisors (105673659839).

516544605505 is a wasteful number, since it uses less digits than its factorization.

516544605505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47736.

The product of its (nonzero) digits is 1800000, while the sum is 46.

The spelling of 516544605505 in words is "five hundred sixteen billion, five hundred forty-four million, six hundred five thousand, five hundred five".