504000213305 has 32 divisors (see below), whose sum is σ = 613622563200. Its totient is φ = 397351291392.

The previous prime is 504000213293. The next prime is 504000213313. The reversal of 504000213305 is 503312000405.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-504000213305 is a prime.

It is a super-2 number, since 2×504000213305² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 214741142 + ... + 214743488.

It is an arithmetic number, because the mean of its divisors is an integer number (19175705100).

Almost surely, 2^504000213305 is an apocalyptic number.

It is an amenable number.

504000213305 is a deficient number, since it is larger than the sum of its proper divisors (109622349895).

504000213305 is a wasteful number, since it uses less digits than its factorization.

504000213305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833.

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 504000213305 in words is "five hundred four billion, two hundred thirteen thousand, three hundred five".