413149416289 has 9 divisors (see below), whose sum is σ = 414277972563. Its totient is φ = 412023931272.

The previous prime is 413149416283. The next prime is 413149416349. The reversal of 413149416289 is 982614941314.

It is a happy number.

The square root of 413149416289 is 642767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 407788247889 + 5361168400 = 638583^2 + 73220^2 .

It is not a de Polignac number, because 413149416289 - 2⁵ = 413149416257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413149416283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 336166527 + ... + 336167755.

Almost surely, 2^413149416289 is an apocalyptic number.

413149416289 is the 642767-th square number.

413149416289 is the 321384-th centered octagonal number.

It is an amenable number.

413149416289 is a deficient number, since it is larger than the sum of its proper divisors (1128556274).

413149416289 is an frugal number, since it uses more digits than its factorization.

413149416289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 1752 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 413149416289 in words is "four hundred thirteen billion, one hundred forty-nine million, four hundred sixteen thousand, two hundred eighty-nine".