504865585568405 has 8 divisors (see below), whose sum is σ = 605856726823992. Its totient is φ = 403880452360128.

The previous prime is 504865585568353. The next prime is 504865585568431.

It is a happy number.

504865585568405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 81172063278916 + 423693522289489 = 9009554^2 + 20583817^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 504865585568405 - 2⁶ = 504865585568341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501826954 + ... + 1502163083.

It is an arithmetic number, because the mean of its divisors is an integer number (75732090852999).

Almost surely, 2^{504865585568405} is an apocalyptic number.

It is an amenable number.

504865585568405 is a deficient number, since it is larger than the sum of its proper divisors (100991141255587).

504865585568405 is a wasteful number, since it uses less digits than its factorization.

504865585568405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004023655.

The product of its (nonzero) digits is 4608000000, while the sum is 74.

The spelling of 504865585568405 in words is "five hundred four trillion, eight hundred sixty-five billion, five hundred eighty-five million, five hundred sixty-eight thousand, four hundred five".