506200607253504 has 66 divisors (see below), whose sum is σ = 1461643268214870. Its totient is φ = 168733535748096.

The previous prime is 506200607253463. The next prime is 506200607253521. The reversal of 506200607253504 is 405352706002605.

506200607253504 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 0 + 0 + 607 + 2 + 5 + 35 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 503717335547904 + 2483271705600 = 22443648^2 + 1575840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 506200607253504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27463131369 + ... + 27463149800.

Almost surely, 2^{506200607253504} is an apocalyptic number.

It is an amenable number.

506200607253504 is an abundant number, since it is smaller than the sum of its proper divisors (955442660961366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506200607253504 is a wasteful number, since it uses less digits than its factorization.

506200607253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54926281195 (or 54926281174 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 506200607253504 in words is "five hundred six trillion, two hundred billion, six hundred seven million, two hundred fifty-three thousand, five hundred four".