509696686696905 has 12 divisors (see below), whose sum is σ = 883474256941380. Its totient is φ = 271838232904992.

The previous prime is 509696686696889. The next prime is 509696686696909.

509696686696905 is a `hidden beast` number, since 509 + 6 + 9 + 6 + 6 + 8 + 6 + 6 + 9 + 6 + 90 + 5 = 666.

509696686696905 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 152646222680064 + 357050464016841 = 12355008^2 + 18895779^2 .

It is not a de Polignac number, because 509696686696905 - 2⁴ = 509696686696889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509696686696909) 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 11 ways as a sum of consecutive naturals, for example, 5663296518810 + ... + 5663296518899.

It is an arithmetic number, because the mean of its divisors is an integer number (73622854745115).

Almost surely, 2^{509696686696905} is an apocalyptic number.

It is an amenable number.

509696686696905 is a deficient number, since it is larger than the sum of its proper divisors (373777570244475).

509696686696905 is a wasteful number, since it uses less digits than its factorization.

509696686696905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11326593037720 (or 11326593037717 counting only the distinct ones).

The product of its (nonzero) digits is 61222003200, while the sum is 90.

The spelling of 509696686696905 in words is "five hundred nine trillion, six hundred ninety-six billion, six hundred eighty-six million, six hundred ninety-six thousand, nine hundred five".