413451517729 has 2 divisors, whose sum is σ = 413451517730. Its totient is φ = 413451517728.

The previous prime is 413451517681. The next prime is 413451517763. The reversal of 413451517729 is 927715154314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366817979025 + 46633538704 = 605655^2 + 215948^2 .

It is a cyclic number.

It is not a de Polignac number, because 413451517729 - 2²¹ = 413449420577 is a prime.

It is not a weakly prime, because it can be changed into another prime (413451517769) 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, 206725758864 + 206725758865.

It is an arithmetic number, because the mean of its divisors is an integer number (206725758865).

Almost surely, 2^413451517729 is an apocalyptic number.

It is an amenable number.

413451517729 is a deficient number, since it is larger than the sum of its proper divisors (1).

413451517729 is an equidigital number, since it uses as much as digits as its factorization.

413451517729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1058400, while the sum is 49.

The spelling of 413451517729 in words is "four hundred thirteen billion, four hundred fifty-one million, five hundred seventeen thousand, seven hundred twenty-nine".