505212305315013 has 16 divisors (see below), whose sum is σ = 748570228012800. Its totient is φ = 336759804480960.

The previous prime is 505212305314967. The next prime is 505212305315077. The reversal of 505212305315013 is 310513503212505.

505212305315013 is a `hidden beast` number, since 5 + 0 + 5 + 21 + 2 + 305 + 315 + 0 + 13 = 666.

It is not a de Polignac number, because 505212305315013 - 2⁶ = 505212305314949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505212305316013) 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, 1344227028 + ... + 1344602813.

It is an arithmetic number, because the mean of its divisors is an integer number (46785639250800).

Almost surely, 2^{505212305315013} is an apocalyptic number.

It is an amenable number.

505212305315013 is a deficient number, since it is larger than the sum of its proper divisors (243357922697787).

505212305315013 is a wasteful number, since it uses less digits than its factorization.

505212305315013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688836809 (or 2688836803 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 505212305315013 its reverse (310513503212505), we get a palindrome (815725808527518).

The spelling of 505212305315013 in words is "five hundred five trillion, two hundred twelve billion, three hundred five million, three hundred fifteen thousand, thirteen".