500505505201 has 16 divisors (see below), whose sum is σ = 542606435280. Its totient is φ = 458928368640.

The previous prime is 500505505163. The next prime is 500505505237. The reversal of 500505505201 is 102505505005.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 184831206400 + 315674298801 = 429920^2 + 561849^2 .

It is a cyclic number.

It is not a de Polignac number, because 500505505201 - 2¹¹ = 500505503153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 500505505201.

It is not an unprimeable number, because it can be changed into a prime (500505505501) 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, 1078965 + ... + 1471453.

It is an arithmetic number, because the mean of its divisors is an integer number (33912902205).

Almost surely, 2^500505505201 is an apocalyptic number.

It is an amenable number.

500505505201 is a deficient number, since it is larger than the sum of its proper divisors (42100930079).

500505505201 is a wasteful number, since it uses less digits than its factorization.

500505505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393156.

The product of its (nonzero) digits is 6250, while the sum is 28.

The spelling of 500505505201 in words is "five hundred billion, five hundred five million, five hundred five thousand, two hundred one".