806353312041 has 24 divisors (see below), whose sum is σ = 1208153987040. Its totient is φ = 537442843392.

The previous prime is 806353312027. The next prime is 806353312043. The reversal of 806353312041 is 140213353608.

806353312041 is a `hidden beast` number, since 8 + 0 + 63 + 533 + 1 + 20 + 41 = 666.

It is not a de Polignac number, because 806353312041 - 2¹⁹ = 806352787753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 806353311987 and 806353312005.

It is not an unprimeable number, because it can be changed into a prime (806353312043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655386 + ... + 1429068.

It is an arithmetic number, because the mean of its divisors is an integer number (50339749460).

Almost surely, 2^806353312041 is an apocalyptic number.

806353312041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

806353312041 is a deficient number, since it is larger than the sum of its proper divisors (401800674999).

806353312041 is an equidigital number, since it uses as much as digits as its factorization.

806353312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777987 (or 777975 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 806353312041 its reverse (140213353608), we get a palindrome (946566665649).

The spelling of 806353312041 in words is "eight hundred six billion, three hundred fifty-three million, three hundred twelve thousand, forty-one".