8413108729 has 15 divisors (see below), whose sum is σ = 8777789097. Its totient is φ = 8063552376.

The previous prime is 8413108681. The next prime is 8413108789. The reversal of 8413108729 is 9278013148.

The square root of 8413108729 is 91723.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5245670329 + 3167438400 = 72427^2 + 56280^2 .

It is not a de Polignac number, because 8413108729 - 2¹³ = 8413100537 is a prime.

It is a super-3 number, since 3×8413108729³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8413108789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 125568754 + ... + 125568820.

Almost surely, 2^8413108729 is an apocalyptic number.

8413108729 is the 91723-rd square number.

8413108729 is the 45862-nd centered octagonal number.

It is an amenable number.

8413108729 is a deficient number, since it is larger than the sum of its proper divisors (364680368).

8413108729 is an frugal number, since it uses more digits than its factorization.

8413108729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 8413108729 is about 2033.8495977245.

The spelling of 8413108729 in words is "eight billion, four hundred thirteen million, one hundred eight thousand, seven hundred twenty-nine".