505005221 has 24 divisors (see below), whose sum is σ = 608924160. Its totient is φ = 417160800.

The previous prime is 505005211. The next prime is 505005233. The reversal of 505005221 is 122500505.

505005221 = 1780² + 1781² + ... + 1926².

It is not a de Polignac number, because 505005221 - 2²² = 500810917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505005193 and 505005202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505005211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471875 + ... + 472943.

It is an arithmetic number, because the mean of its divisors is an integer number (25371840).

Almost surely, 2^505005221 is an apocalyptic number.

It is an amenable number.

505005221 is a deficient number, since it is larger than the sum of its proper divisors (103918939).

505005221 is a wasteful number, since it uses less digits than its factorization.

505005221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 505005221 is about 22472.3212196693. The cubic root of 505005221 is about 796.3401685112.

Adding to 505005221 its reverse (122500505), we get a palindrome (627505726).

The spelling of 505005221 in words is "five hundred five million, five thousand, two hundred twenty-one".