416110061 has 2 divisors, whose sum is σ = 416110062. Its totient is φ = 416110060.

The previous prime is 416109989. The next prime is 416110063. The reversal of 416110061 is 160011614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385926025 + 30184036 = 19645^2 + 5494^2 .

It is a cyclic number.

It is not a de Polignac number, because 416110061 - 2¹⁸ = 415847917 is a prime.

Together with 416110063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416110063) 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 as a sum of consecutive naturals, namely, 208055030 + 208055031.

It is an arithmetic number, because the mean of its divisors is an integer number (208055031).

Almost surely, 2^416110061 is an apocalyptic number.

It is an amenable number.

416110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

416110061 is an equidigital number, since it uses as much as digits as its factorization.

416110061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 416110061 is about 20398.7759681801. The cubic root of 416110061 is about 746.5680595184.

Adding to 416110061 its reverse (160011614), we get a palindrome (576121675).

The spelling of 416110061 in words is "four hundred sixteen million, one hundred ten thousand, sixty-one".