2617000001 has 32 divisors (see below), whose sum is σ = 3308138496. Its totient is φ = 2011032000.

The previous prime is 2616999977. The next prime is 2617000019. The reversal of 2617000001 is 1000007162.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2617000001 - 2¹⁰ = 2616998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2617000601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466011 + ... + 2467071.

It is an arithmetic number, because the mean of its divisors is an integer number (103379328).

Almost surely, 2^2617000001 is an apocalyptic number.

It is an amenable number.

2617000001 is a deficient number, since it is larger than the sum of its proper divisors (691138495).

2617000001 is a wasteful number, since it uses less digits than its factorization.

2617000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 2617000001 is about 51156.6222594886. The cubic root of 2617000001 is about 1378.0593040369.

Adding to 2617000001 its reverse (1000007162), we get a palindrome (3617007163).

The spelling of 2617000001 in words is "two billion, six hundred seventeen million, one", and thus it is an aban number.