8281393263081 has 63 divisors (see below), whose sum is σ = 12661398105447. Its totient is φ = 5414066807760.

The previous prime is 8281393263047. The next prime is 8281393263083. The reversal of 8281393263081 is 1803623931828.

The square root of 8281393263081 is 2877741.

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

8281393263081 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 3 + 9 + 326 + 308 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5970032523225 + 2311360739856 = 2443365^2 + 1520316^2 .

It is not a de Polignac number, because 8281393263081 - 2⁷ = 8281393262953 is a prime.

It is a super-2 number, since 2×8281393263081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8281393263083) 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 62 ways as a sum of consecutive naturals, for example, 4118046366 + ... + 4118048376.

Almost surely, 2^{8281393263081} is an apocalyptic number.

8281393263081 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8281393263081 is the 2877741-st square number.

8281393263081 is the 1438871-st centered octagonal number.

It is an amenable number.

8281393263081 is a deficient number, since it is larger than the sum of its proper divisors (4380004842366).

8281393263081 is an frugal number, since it uses more digits than its factorization.

8281393263081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 8281393263081 in words is "eight trillion, two hundred eighty-one billion, three hundred ninety-three million, two hundred sixty-three thousand, eighty-one".