8815519881 has 81 divisors (see below), whose sum is σ = 15795104871. Its totient is φ = 4723092864.

The previous prime is 8815519837. The next prime is 8815519883. The reversal of 8815519881 is 1889155188.

The square root of 8815519881 is 93891.

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

8815519881 is a `hidden beast` number, since 8 + 8 + 1 + 551 + 9 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6863294025 + 1952225856 = 82845^2 + 44184^2 .

It is not a de Polignac number, because 8815519881 - 2¹⁹ = 8814995593 is a prime.

It is a super-3 number, since 3×8815519881³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8815519883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33518956 + ... + 33519218.

Almost surely, 2^8815519881 is an apocalyptic number.

8815519881 is the 93891-st square number.

8815519881 is the 46946-th centered octagonal number.

It is an amenable number.

8815519881 is a deficient number, since it is larger than the sum of its proper divisors (6979584990).

8815519881 is a wasteful number, since it uses less digits than its factorization.

8815519881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its digits is 921600, while the sum is 54.

The cubic root of 8815519881 is about 2065.7732199668.

The spelling of 8815519881 in words is "eight billion, eight hundred fifteen million, five hundred nineteen thousand, eight hundred eighty-one".