416563956113 has 2 divisors, whose sum is σ = 416563956114. Its totient is φ = 416563956112.

The previous prime is 416563956071. The next prime is 416563956143. The reversal of 416563956113 is 311659365614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328990574929 + 87573381184 = 573577^2 + 295928^2 .

It is a cyclic number.

It is not a de Polignac number, because 416563956113 - 2²⁸ = 416295520657 is a prime.

It is a super-4 number, since 4×416563956113⁴ (a number of 48 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (416563956143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208281978056 + 208281978057.

It is an arithmetic number, because the mean of its divisors is an integer number (208281978057).

Almost surely, 2^416563956113 is an apocalyptic number.

It is an amenable number.

416563956113 is a deficient number, since it is larger than the sum of its proper divisors (1).

416563956113 is an equidigital number, since it uses as much as digits as its factorization.

416563956113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1749600, while the sum is 50.

The spelling of 416563956113 in words is "four hundred sixteen billion, five hundred sixty-three million, nine hundred fifty-six thousand, one hundred thirteen".