13000414617 has 6 divisors (see below), whose sum is σ = 18778376682. Its totient is φ = 8666943072.

The previous prime is 13000414579. The next prime is 13000414619. The reversal of 13000414617 is 71641400031.

It is a happy number.

13000414617 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 41 + 4 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12610391616 + 390023001 = 112296^2 + 19749^2 .

It is not a de Polignac number, because 13000414617 - 2¹⁰ = 13000413593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13000414619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722245248 + ... + 722245265.

It is an arithmetic number, because the mean of its divisors is an integer number (3129729447).

Almost surely, 2^13000414617 is an apocalyptic number.

It is an amenable number.

13000414617 is a deficient number, since it is larger than the sum of its proper divisors (5777962065).

13000414617 is a wasteful number, since it uses less digits than its factorization.

13000414617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444490519 (or 1444490516 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 13000414617 its reverse (71641400031), we get a palindrome (84641814648).

The spelling of 13000414617 in words is "thirteen billion, four hundred fourteen thousand, six hundred seventeen".