504141966721 has 8 divisors (see below), whose sum is σ = 526689801000. Its totient is φ = 481938374400.

The previous prime is 504141966707. The next prime is 504141966739. The reversal of 504141966721 is 127669141405.

It can be written as a sum of positive squares in 4 ways, for example, as 48160497025 + 455981469696 = 219455^2 + 675264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 504141966721 - 2³⁷ = 366703013249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504141966701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86057496 + ... + 86063353.

It is an arithmetic number, because the mean of its divisors is an integer number (65836225125).

Almost surely, 2^504141966721 is an apocalyptic number.

It is an amenable number.

504141966721 is a deficient number, since it is larger than the sum of its proper divisors (22547834279).

504141966721 is a wasteful number, since it uses less digits than its factorization.

504141966721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172120979.

The product of its (nonzero) digits is 362880, while the sum is 46.

It can be divided in two parts, 504 and 141966721, that added together give a square (141967225 = 11915²).

The spelling of 504141966721 in words is "five hundred four billion, one hundred forty-one million, nine hundred sixty-six thousand, seven hundred twenty-one".