8027261121 has 24 divisors (see below), whose sum is σ = 11986470720. Its totient is φ = 4773202720.

The previous prime is 8027261029. The next prime is 8027261147. The reversal of 8027261121 is 1211627208.

It is not a de Polignac number, because 8027261121 - 2⁹ = 8027260609 is a prime.

It is a super-2 number, since 2×8027261121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8027261171) 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 23 ways as a sum of consecutive naturals, for example, 189381 + ... + 227858.

It is an arithmetic number, because the mean of its divisors is an integer number (499436280).

Almost surely, 2^8027261121 is an apocalyptic number.

It is an amenable number.

8027261121 is a deficient number, since it is larger than the sum of its proper divisors (3959209599).

8027261121 is a wasteful number, since it uses less digits than its factorization.

8027261121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417317 (or 417306 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8027261121 is about 89594.9837937370. The cubic root of 8027261121 is about 2002.2691845105.

Adding to 8027261121 its reverse (1211627208), we get a palindrome (9238888329).

The spelling of 8027261121 in words is "eight billion, twenty-seven million, two hundred sixty-one thousand, one hundred twenty-one".