17021638089 has 27 divisors (see below), whose sum is σ = 24834064437. Its totient is φ = 11234774304.

The previous prime is 17021638087. The next prime is 17021638121. The reversal of 17021638089 is 98083612071.

The square root of 17021638089 is 130467.

It is a perfect power (a square), and thus also a powerful number.

17021638089 is a `hidden beast` number, since 1 + 7 + 0 + 2 + 1 + 638 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4965598089 + 12056040000 = 70467^2 + 109800^2 .

It is not a de Polignac number, because 17021638089 - 2¹ = 17021638087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17021638087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61449819 + ... + 61450095.

Almost surely, 2^17021638089 is an apocalyptic number.

17021638089 is the 130467-th square number.

17021638089 is the 65234-th centered octagonal number.

It is an amenable number.

17021638089 is a deficient number, since it is larger than the sum of its proper divisors (7812426348).

17021638089 is an frugal number, since it uses more digits than its factorization.

17021638089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 17021638089 in words is "seventeen billion, twenty-one million, six hundred thirty-eight thousand, eighty-nine".