516111017 has 2 divisors, whose sum is σ = 516111018. Its totient is φ = 516111016.

The previous prime is 516110989. The next prime is 516111019. The reversal of 516111017 is 710111615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 495463081 + 20647936 = 22259^2 + 4544^2 .

It is a cyclic number.

It is not a de Polignac number, because 516111017 - 2⁶ = 516110953 is a prime.

Together with 516111019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 516110983 and 516111001.

It is not a weakly prime, because it can be changed into another prime (516111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258055508 + 258055509.

It is an arithmetic number, because the mean of its divisors is an integer number (258055509).

Almost surely, 2^516111017 is an apocalyptic number.

It is an amenable number.

516111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

516111017 is an equidigital number, since it uses as much as digits as its factorization.

516111017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 23.

The square root of 516111017 is about 22718.0768772359. The cubic root of 516111017 is about 802.1354494353.

The spelling of 516111017 in words is "five hundred sixteen million, one hundred eleven thousand, seventeen".