413004013073 has 2 divisors, whose sum is σ = 413004013074. Its totient is φ = 413004013072.

The previous prime is 413004013043. The next prime is 413004013117. The reversal of 413004013073 is 370310400314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328801321744 + 84202691329 = 573412^2 + 290177^2 .

It is a cyclic number.

It is not a de Polignac number, because 413004013073 - 2¹⁰ = 413004012049 is a prime.

It is not a weakly prime, because it can be changed into another prime (413004013043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502006536 + 206502006537.

It is an arithmetic number, because the mean of its divisors is an integer number (206502006537).

Almost surely, 2^413004013073 is an apocalyptic number.

It is an amenable number.

413004013073 is a deficient number, since it is larger than the sum of its proper divisors (1).

413004013073 is an equidigital number, since it uses as much as digits as its factorization.

413004013073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 413004013073 its reverse (370310400314), we get a palindrome (783314413387).

The spelling of 413004013073 in words is "four hundred thirteen billion, four million, thirteen thousand, seventy-three".