503405504305 has 16 divisors (see below), whose sum is σ = 660089286144. Its totient is φ = 365509918080.

The previous prime is 503405504201. The next prime is 503405504309.

503405504305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 503405504305 - 2²⁷ = 503271286577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503405504309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7506012 + ... + 7572781.

It is an arithmetic number, because the mean of its divisors is an integer number (41255580384).

Almost surely, 2^503405504305 is an apocalyptic number.

503405504305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

503405504305 is a deficient number, since it is larger than the sum of its proper divisors (156683781839).

503405504305 is a wasteful number, since it uses less digits than its factorization.

503405504305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15079416.

The product of its (nonzero) digits is 90000, while the sum is 34.

The spelling of 503405504305 in words is "five hundred three billion, four hundred five million, five hundred four thousand, three hundred five".