806803817121 has 24 divisors (see below), whose sum is σ = 1198760963400. Its totient is φ = 522573004800.

The previous prime is 806803817119. The next prime is 806803817177. The reversal of 806803817121 is 121718308608.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136593072225 + 670210744896 = 369585^2 + 818664^2 .

It is not a de Polignac number, because 806803817121 - 2¹ = 806803817119 is a prime.

It is a super-3 number, since 3×806803817121³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (806803817101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4447296 + ... + 4625153.

It is an arithmetic number, because the mean of its divisors is an integer number (49948373475).

Almost surely, 2^806803817121 is an apocalyptic number.

It is an amenable number.

806803817121 is a deficient number, since it is larger than the sum of its proper divisors (391957146279).

806803817121 is a wasteful number, since it uses less digits than its factorization.

806803817121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072737 (or 9072734 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 806803817121 in words is "eight hundred six billion, eight hundred three million, eight hundred seventeen thousand, one hundred twenty-one".