8268083041 has 9 divisors (see below), whose sum is σ = 8381348913. Its totient is φ = 8156331300.

The previous prime is 8268083017. The next prime is 8268083069. The reversal of 8268083041 is 1403808628.

The square root of 8268083041 is 90929.

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

It is not a de Polignac number, because 8268083041 - 2⁵ = 8268083009 is a prime.

It is a super-2 number, since 2×8268083041² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8268082985 and 8268083003.

It is not an unprimeable number, because it can be changed into a prime (8268083071) 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 8 ways as a sum of consecutive naturals, for example, 7182816 + ... + 7183966.

Almost surely, 2^8268083041 is an apocalyptic number.

8268083041 is the 90929-th square number.

8268083041 is the 45465-th centered octagonal number.

It is an amenable number.

8268083041 is a deficient number, since it is larger than the sum of its proper divisors (113265872).

8268083041 is an frugal number, since it uses more digits than its factorization.

8268083041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The cubic root of 8268083041 is about 2022.0952543746.

The spelling of 8268083041 in words is "eight billion, two hundred sixty-eight million, eighty-three thousand, forty-one".