505221303122505 has 48 divisors (see below), whose sum is σ = 896652702466560. Its totient is φ = 263080763979264.

The previous prime is 505221303122489. The next prime is 505221303122521.

505221303122505 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 2 + 130 + 3 + 12 + 2 + 505 = 666.

505221303122505 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (505221303122489) and next prime (505221303122521).

It is not a de Polignac number, because 505221303122505 - 2⁴ = 505221303122489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505221303122505.

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, 741116185 + ... + 741797574.

It is an arithmetic number, because the mean of its divisors is an integer number (18680264634720).

Almost surely, 2^{505221303122505} is an apocalyptic number.

It is an amenable number.

505221303122505 is a deficient number, since it is larger than the sum of its proper divisors (391431399344055).

505221303122505 is a wasteful number, since it uses less digits than its factorization.

505221303122505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482913950 (or 1482913947 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 50522130 and 3122505, that added together give a palindrome (53644635).

The spelling of 505221303122505 in words is "five hundred five trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty-two thousand, five hundred five".