8001617991 has 16 divisors (see below), whose sum is σ = 11232896640. Its totient is φ = 5052503520.

The previous prime is 8001617963. The next prime is 8001617993. The reversal of 8001617991 is 1997161008.

It is not a de Polignac number, because 8001617991 - 2¹¹ = 8001615943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001617993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286536 + ... + 313218.

It is an arithmetic number, because the mean of its divisors is an integer number (702056040).

Almost surely, 2^8001617991 is an apocalyptic number.

8001617991 is a deficient number, since it is larger than the sum of its proper divisors (3231278649).

8001617991 is a wasteful number, since it uses less digits than its factorization.

8001617991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31966.

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 8001617991 is about 89451.7634873679. The cubic root of 8001617991 is about 2000.1348234944.

Adding to 8001617991 its reverse (1997161008), we get a palindrome (9998778999).

The spelling of 8001617991 in words is "eight billion, one million, six hundred seventeen thousand, nine hundred ninety-one".