10617871601 has 4 divisors (see below), whose sum is σ = 10618084212. Its totient is φ = 10617658992.

The previous prime is 10617871591. The next prime is 10617871613.

10617871601 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6496360000 + 4121511601 = 80600^2 + 64199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10617871601 - 2¹⁰ = 10617870577 is a prime.

It is a super-2 number, since 2×10617871601² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10617871651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13955 + ... + 146391.

It is an arithmetic number, because the mean of its divisors is an integer number (2654521053).

Almost surely, 2^10617871601 is an apocalyptic number.

It is an amenable number.

10617871601 is a deficient number, since it is larger than the sum of its proper divisors (212611).

10617871601 is an equidigital number, since it uses as much as digits as its factorization.

10617871601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212610.

The product of its (nonzero) digits is 14112, while the sum is 38.

The spelling of 10617871601 in words is "ten billion, six hundred seventeen million, eight hundred seventy-one thousand, six hundred one".