681407659305 has 32 divisors (see below), whose sum is σ = 1225986491520. Its totient is φ = 359038889280.

The previous prime is 681407659271. The next prime is 681407659307. The reversal of 681407659305 is 503956704186.

681407659305 is a `hidden beast` number, since 6 + 8 + 1 + 40 + 7 + 6 + 593 + 0 + 5 = 666.

It is not a de Polignac number, because 681407659305 - 2²⁴ = 681390882089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (681407659307) 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 31 ways as a sum of consecutive naturals, for example, 30395206 + ... + 30417615.

It is an arithmetic number, because the mean of its divisors is an integer number (38312077860).

Almost surely, 2^681407659305 is an apocalyptic number.

It is an amenable number.

681407659305 is a deficient number, since it is larger than the sum of its proper divisors (544578832215).

681407659305 is a wasteful number, since it uses less digits than its factorization.

681407659305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60812918 (or 60812912 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 681407659305 in words is "six hundred eighty-one billion, four hundred seven million, six hundred fifty-nine thousand, three hundred five".