8417512009 has 9 divisors (see below), whose sum is σ = 8801609383. Its totient is φ = 8049514792.

The previous prime is 8417512001. The next prime is 8417512049. The reversal of 8417512009 is 9002157148.

The square root of 8417512009 is 91747.

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., 3968622009 + 4448890000 = 62997^2 + 66700^2 .

It is not a de Polignac number, because 8417512009 - 2³ = 8417512001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8417512001) 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 in 8 ways as a sum of consecutive naturals, for example, 2108187 + ... + 2112175.

Almost surely, 2^8417512009 is an apocalyptic number.

8417512009 is the 91747-th square number.

8417512009 is the 45874-th centered octagonal number.

It is an amenable number.

8417512009 is a deficient number, since it is larger than the sum of its proper divisors (384097374).

8417512009 is an frugal number, since it uses more digits than its factorization.

8417512009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The cubic root of 8417512009 is about 2034.2043634278.

The spelling of 8417512009 in words is "eight billion, four hundred seventeen million, five hundred twelve thousand, nine".