516116617 has 8 divisors (see below), whose sum is σ = 547036200. Its totient is φ = 485259264.

The previous prime is 516116561. The next prime is 516116633. The reversal of 516116617 is 716611615.

It can be written as a sum of positive squares in 4 ways, for example, as 92621376 + 423495241 = 9624^2 + 20579^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 516116617 - 2¹¹ = 516114569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516116687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 32197.

It is an arithmetic number, because the mean of its divisors is an integer number (68379525).

Almost surely, 2^516116617 is an apocalyptic number.

It is an amenable number.

516116617 is a deficient number, since it is larger than the sum of its proper divisors (30919583).

516116617 is a wasteful number, since it uses less digits than its factorization.

516116617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31115.

The product of its digits is 7560, while the sum is 34.

The square root of 516116617 is about 22718.2001267706. The cubic root of 516116617 is about 802.1383505826.

The spelling of 516116617 in words is "five hundred sixteen million, one hundred sixteen thousand, six hundred seventeen".