413112400401601 has 2 divisors, whose sum is σ = 413112400401602. Its totient is φ = 413112400401600.

The previous prime is 413112400401583. The next prime is 413112400401611. The reversal of 413112400401601 is 106104004211314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376238953734400 + 36873446667201 = 19396880^2 + 6072351^2 .

It is a cyclic number.

It is not a de Polignac number, because 413112400401601 - 2²⁷ = 413112266183873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413112400401601.

It is not a weakly prime, because it can be changed into another prime (413112400401611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556200200800 + 206556200200801.

It is an arithmetic number, because the mean of its divisors is an integer number (206556200200801).

Almost surely, 2^{413112400401601} is an apocalyptic number.

It is an amenable number.

413112400401601 is a deficient number, since it is larger than the sum of its proper divisors (1).

413112400401601 is an equidigital number, since it uses as much as digits as its factorization.

413112400401601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 413112400401601 its reverse (106104004211314), we get a palindrome (519216404612915).

The spelling of 413112400401601 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, six hundred one".