506413586503 has 16 divisors (see below), whose sum is σ = 554063328000. Its totient is φ = 459034463680.

The previous prime is 506413586479. The next prime is 506413586507. The reversal of 506413586503 is 305685314605.

It is a cyclic number.

It is not a de Polignac number, because 506413586503 - 2²⁵ = 506380032071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506413586507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283000 + ... + 5378002.

It is an arithmetic number, because the mean of its divisors is an integer number (34628958000).

Almost surely, 2^506413586503 is an apocalyptic number.

506413586503 is a deficient number, since it is larger than the sum of its proper divisors (47649741497).

506413586503 is a wasteful number, since it uses less digits than its factorization.

506413586503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96422.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 506413586503 in words is "five hundred six billion, four hundred thirteen million, five hundred eighty-six thousand, five hundred three".