505404445221 has 48 divisors (see below), whose sum is σ = 828205618240. Its totient is φ = 294419888640.

The previous prime is 505404445187. The next prime is 505404445283. The reversal of 505404445221 is 122544404505.

505404445221 is a `hidden beast` number, since 5 + 0 + 540 + 4 + 44 + 52 + 21 = 666.

It is not a de Polignac number, because 505404445221 - 2⁷ = 505404445093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505404445421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795586 + ... + 2970876.

Almost surely, 2^505404445221 is an apocalyptic number.

It is an amenable number.

505404445221 is a deficient number, since it is larger than the sum of its proper divisors (322801173019).

505404445221 is a wasteful number, since it uses less digits than its factorization.

505404445221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176626 (or 176623 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 505404445221 its reverse (122544404505), we get a palindrome (627948849726).

It can be divided in two parts, 505404 and 445221, that added together give a square (950625 = 975²).

The spelling of 505404445221 in words is "five hundred five billion, four hundred four million, four hundred forty-five thousand, two hundred twenty-one".