516161 has 2 divisors, whose sum is σ = 516162. Its totient is φ = 516160.

The previous prime is 516157. The next prime is 516163. The reversal of 516161 is 161615.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 207025 = 556^2 + 455^2 .

It is a cyclic number.

It is not a de Polignac number, because 516161 - 2² = 516157 is a prime.

It is a super-3 number, since 3×516161³ = 412550213333643843, which contains 333 as substring.

Together with 516163, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516161.

It is not a weakly prime, because it can be changed into another prime (516163) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258080 + 258081.

It is an arithmetic number, because the mean of its divisors is an integer number (258081).

2⁵¹⁶¹⁶¹ is an apocalyptic number.

It is an amenable number.

516161 is a deficient number, since it is larger than the sum of its proper divisors (1).

516161 is an equidigital number, since it uses as much as digits as its factorization.

516161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 20.

The square root of 516161 is about 718.4434563694. The cubic root of 516161 is about 80.2161342987.

Adding to 516161 its reverse (161615), we get a palindrome (677776).

It can be divided in two parts, 5161 and 61, that multiplied together give a triangular number (314821 = T₇₉₃).

The spelling of 516161 in words is "five hundred sixteen thousand, one hundred sixty-one".