505220464327125 has 256 divisors, whose sum is σ = 882419690880000. Its totient is φ = 256373268480000.

The previous prime is 505220464327097. The next prime is 505220464327129. The reversal of 505220464327125 is 521723464022505.

It is not a de Polignac number, because 505220464327125 - 2¹⁴ = 505220464310741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505220464327129) 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 255 ways as a sum of consecutive naturals, for example, 316355956827 + ... + 316355958423.

It is an arithmetic number, because the mean of its divisors is an integer number (3446951917500).

Almost surely, 2^{505220464327125} is an apocalyptic number.

It is an amenable number.

505220464327125 is a deficient number, since it is larger than the sum of its proper divisors (377199226552875).

505220464327125 is a wasteful number, since it uses less digits than its factorization.

505220464327125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 505220464327125 in words is "five hundred five trillion, two hundred twenty billion, four hundred sixty-four million, three hundred twenty-seven thousand, one hundred twenty-five".