504252404252405 has 16 divisors (see below), whose sum is σ = 611099840064384. Its totient is φ = 399404029732800.

The previous prime is 504252404252369. The next prime is 504252404252407.

504252404252405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504252404252405 - 2⁴² = 499854357741301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504252404252407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48744722 + ... + 58176908.

It is an arithmetic number, because the mean of its divisors is an integer number (38193740004024).

Almost surely, 2^{504252404252405} is an apocalyptic number.

It is an amenable number.

504252404252405 is a deficient number, since it is larger than the sum of its proper divisors (106847435811979).

504252404252405 is a wasteful number, since it uses less digits than its factorization.

504252404252405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538156.

The product of its (nonzero) digits is 2560000, while the sum is 44.

It can be divided in two parts, 50425240 and 4252405, that added together give a palindrome (54677645).

The spelling of 504252404252405 in words is "five hundred four trillion, two hundred fifty-two billion, four hundred four million, two hundred fifty-two thousand, four hundred five".