1005520221 has 12 divisors (see below), whose sum is σ = 1452708348. Its totient is φ = 670212864.

The previous prime is 1005520181. The next prime is 1005520231. The reversal of 1005520221 is 1220255001.

It can be written as a sum of positive squares in 2 ways, for example, as 838102500 + 167417721 = 28950^2 + 12939^2 .

It is not a de Polignac number, because 1005520221 - 2⁹ = 1005519709 is a prime.

It is a super-2 number, since 2×1005520221² = 2022141829679777682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005520194 and 1005520203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005520231) 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 11 ways as a sum of consecutive naturals, for example, 60781 + ... + 75533.

It is an arithmetic number, because the mean of its divisors is an integer number (121059029).

Almost surely, 2^1005520221 is an apocalyptic number.

It is an amenable number.

1005520221 is a deficient number, since it is larger than the sum of its proper divisors (447188127).

1005520221 is a wasteful number, since it uses less digits than its factorization.

1005520221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1005520221 is about 31709.9388362702. The cubic root of 1005520221 is about 1001.8366981413.

Adding to 1005520221 its reverse (1220255001), we get a palindrome (2225775222).

It can be divided in two parts, 10055 and 20221, that added together give a square (30276 = 174²).

The spelling of 1005520221 in words is "one billion, five million, five hundred twenty thousand, two hundred twenty-one".