505364031313 has 16 divisors (see below), whose sum is σ = 519468973056. Its totient is φ = 491368550400.

The previous prime is 505364031239. The next prime is 505364031317. The reversal of 505364031313 is 313130463505.

It is a cyclic number.

It is not a de Polignac number, because 505364031313 - 2³⁷ = 367925077841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505364031317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17811088 + ... + 17839438.

It is an arithmetic number, because the mean of its divisors is an integer number (32466810816).

Almost surely, 2^505364031313 is an apocalyptic number.

It is an amenable number.

505364031313 is a deficient number, since it is larger than the sum of its proper divisors (14104941743).

505364031313 is a wasteful number, since it uses less digits than its factorization.

505364031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30264.

The product of its (nonzero) digits is 48600, while the sum is 34.

Adding to 505364031313 its reverse (313130463505), we get a palindrome (818494494818).

The spelling of 505364031313 in words is "five hundred five billion, three hundred sixty-four million, thirty-one thousand, three hundred thirteen".