8001611085 has 64 divisors (see below), whose sum is σ = 14640417792. Its totient is φ = 3696869376.

The previous prime is 8001611081. The next prime is 8001611089. The reversal of 8001611085 is 5801161008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8001611081) and next prime (8001611089).

It is not a de Polignac number, because 8001611085 - 2² = 8001611081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001611081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213317 + ... + 1219893.

It is an arithmetic number, because the mean of its divisors is an integer number (228756528).

Almost surely, 2^8001611085 is an apocalyptic number.

8001611085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8001611085 is a deficient number, since it is larger than the sum of its proper divisors (6638806707).

8001611085 is a wasteful number, since it uses less digits than its factorization.

8001611085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982.

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 8001611085 is about 89451.7248855493. The cubic root of 8001611085 is about 2000.1342480719.

The spelling of 8001611085 in words is "eight billion, one million, six hundred eleven thousand, eighty-five".