11005661017 has 8 divisors (see below), whose sum is σ = 11917734920. Its totient is φ = 10102942080.

The previous prime is 11005660969. The next prime is 11005661021. The reversal of 11005661017 is 71016650011.

It can be written as a sum of positive squares in 4 ways, for example, as 811801 + 11004849216 = 901^2 + 104904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11005661017 - 2¹¹ = 11005658969 is a prime.

It is a super-2 number, since 2×11005661017² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005661087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336292 + ... + 2340997.

It is an arithmetic number, because the mean of its divisors is an integer number (1489716865).

Almost surely, 2^11005661017 is an apocalyptic number.

It is an amenable number.

11005661017 is a deficient number, since it is larger than the sum of its proper divisors (912073903).

11005661017 is a wasteful number, since it uses less digits than its factorization.

11005661017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677483.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 11005661017 in words is "eleven billion, five million, six hundred sixty-one thousand, seventeen".