10065319621209 has 24 divisors (see below), whose sum is σ = 15394174777800. Its totient is φ = 6315430445568.

The previous prime is 10065319621207. The next prime is 10065319621219. The reversal of 10065319621209 is 90212691356001.

10065319621209 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 3 + 19 + 621 + 2 + 0 + 9 = 666.

10065319621209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4759391649609 + 5305927971600 = 2181603^2 + 2303460^2 .

It is not a de Polignac number, because 10065319621209 - 2¹ = 10065319621207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10065319621207) 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, 18054367 + ... + 18603515.

It is an arithmetic number, because the mean of its divisors is an integer number (641423949075).

Almost surely, 2^{10065319621209} is an apocalyptic number.

It is an amenable number.

10065319621209 is a deficient number, since it is larger than the sum of its proper divisors (5328855156591).

10065319621209 is a wasteful number, since it uses less digits than its factorization.

10065319621209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668969 (or 668966 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10065319621209 in words is "ten trillion, sixty-five billion, three hundred nineteen million, six hundred twenty-one thousand, two hundred nine".