504256610514121 has 16 divisors (see below), whose sum is σ = 511252486698240. Its totient is φ = 497276124508800.

The previous prime is 504256610514049. The next prime is 504256610514199. The reversal of 504256610514121 is 121415016652405.

It is a cyclic number.

It is not a de Polignac number, because 504256610514121 - 2³⁹ = 503706854700233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504256610512121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204414221 + ... + 1204832821.

It is an arithmetic number, because the mean of its divisors is an integer number (31953280418640).

Almost surely, 2^{504256610514121} is an apocalyptic number.

It is an amenable number.

504256610514121 is a deficient number, since it is larger than the sum of its proper divisors (6995876184119).

504256610514121 is a wasteful number, since it uses less digits than its factorization.

504256610514121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436944.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 504256610514121 in words is "five hundred four trillion, two hundred fifty-six billion, six hundred ten million, five hundred fourteen thousand, one hundred twenty-one".