506305420200441 has 12 divisors (see below), whose sum is σ = 731330251097940. Its totient is φ = 337536854632320.

The previous prime is 506305420200299. The next prime is 506305420200467. The reversal of 506305420200441 is 144002024503605.

506305420200441 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 0 + 5 + 4 + 2 + 0 + 200 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48067820145216 + 458237600055225 = 6933096^2 + 21406485^2 .

It is not a de Polignac number, because 506305420200441 - 2²⁹ = 506304883329529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506305420200396 and 506305420200405.

It is not an unprimeable number, because it can be changed into a prime (506305422200441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49570525 + ... + 58905413.

It is an arithmetic number, because the mean of its divisors is an integer number (60944187591495).

Almost surely, 2^{506305420200441} is an apocalyptic number.

It is an amenable number.

506305420200441 is a deficient number, since it is larger than the sum of its proper divisors (225024830897499).

506305420200441 is a wasteful number, since it uses less digits than its factorization.

506305420200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361336 (or 15361333 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 506305420200441 in words is "five hundred six trillion, three hundred five billion, four hundred twenty million, two hundred thousand, four hundred forty-one".