413966564057 has 2 divisors, whose sum is σ = 413966564058. Its totient is φ = 413966564056.

The previous prime is 413966564047. The next prime is 413966564059. The reversal of 413966564057 is 750465669314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398014621456 + 15951942601 = 630884^2 + 126301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413966564057 is a prime.

Together with 413966564059, 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 = 413966563993 and 413966564011.

It is not a weakly prime, because it can be changed into another prime (413966564059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206983282028 + 206983282029.

It is an arithmetic number, because the mean of its divisors is an integer number (206983282029).

Almost surely, 2^413966564057 is an apocalyptic number.

It is an amenable number.

413966564057 is a deficient number, since it is larger than the sum of its proper divisors (1).

413966564057 is an equidigital number, since it uses as much as digits as its factorization.

413966564057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 413966564057 in words is "four hundred thirteen billion, nine hundred sixty-six million, five hundred sixty-four thousand, fifty-seven".