504211222112405 has 8 divisors (see below), whose sum is σ = 625917379174200. Its totient is φ = 389459702597056.

The previous prime is 504211222112393. The next prime is 504211222112449.

504211222112405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 84754689225361 + 419456532887044 = 9206231^2 + 20480638^2 .

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 504211222112405 - 2³⁶ = 504142502635669 is a prime.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1738659386450 + ... + 1738659386739.

It is an arithmetic number, because the mean of its divisors is an integer number (78239672396775).

Almost surely, 2^{504211222112405} is an apocalyptic number.

It is an amenable number.

504211222112405 is a deficient number, since it is larger than the sum of its proper divisors (121706157061795).

504211222112405 is a wasteful number, since it uses less digits than its factorization.

504211222112405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477318773223.

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 504211222112405 in words is "five hundred four trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, four hundred five".