504314565413405 has 16 divisors (see below), whose sum is σ = 611120208825984. Its totient is φ = 399490693917120.

The previous prime is 504314565413383. The next prime is 504314565413453.

504314565413405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504314565413405 - 2¹⁶ = 504314565347869 is a prime.

It is a super-2 number, since 2×504314565413405² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49176434 + ... + 58540163.

It is an arithmetic number, because the mean of its divisors is an integer number (38195013051624).

Almost surely, 2^{504314565413405} is an apocalyptic number.

It is an amenable number.

504314565413405 is a deficient number, since it is larger than the sum of its proper divisors (106805643412579).

504314565413405 is a wasteful number, since it uses less digits than its factorization.

504314565413405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107725796.

The product of its (nonzero) digits is 8640000, while the sum is 50.

The spelling of 504314565413405 in words is "five hundred four trillion, three hundred fourteen billion, five hundred sixty-five million, four hundred thirteen thousand, four hundred five".