505123321505 has 48 divisors (see below), whose sum is σ = 681382195200. Its totient is φ = 359117616000.

The previous prime is 505123321499. The next prime is 505123321541.

505123321505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505123321505 - 2⁸ = 505123321249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774976 + ... + 4879614.

It is an arithmetic number, because the mean of its divisors is an integer number (14195462400).

Almost surely, 2^505123321505 is an apocalyptic number.

505123321505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505123321505 is a deficient number, since it is larger than the sum of its proper divisors (176258873695).

505123321505 is a wasteful number, since it uses less digits than its factorization.

505123321505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104846 (or 104835 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 505123 and 321505, that added together give a palindrome (826628).

The spelling of 505123321505 in words is "five hundred five billion, one hundred twenty-three million, three hundred twenty-one thousand, five hundred five".