516801617 has 2 divisors, whose sum is σ = 516801618. Its totient is φ = 516801616.

The previous prime is 516801601. The next prime is 516801631. The reversal of 516801617 is 716108615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441042001 + 75759616 = 21001^2 + 8704^2 .

It is a cyclic number.

It is not a de Polignac number, because 516801617 - 2⁴ = 516801601 is a prime.

It is a super-2 number, since 2×516801617² = 534167822667629378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (516801317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258400808 + 258400809.

It is an arithmetic number, because the mean of its divisors is an integer number (258400809).

Almost surely, 2^516801617 is an apocalyptic number.

It is an amenable number.

516801617 is a deficient number, since it is larger than the sum of its proper divisors (1).

516801617 is an equidigital number, since it uses as much as digits as its factorization.

516801617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 516801617 is about 22733.2711460538. The cubic root of 516801617 is about 802.4930649013.

The spelling of 516801617 in words is "five hundred sixteen million, eight hundred one thousand, six hundred seventeen".