1005505221 has 8 divisors (see below), whose sum is σ = 1532198464. Its totient is φ = 574574400.

The previous prime is 1005505219. The next prime is 1005505223. The reversal of 1005505221 is 1225055001.

It is an interprime number because it is at equal distance from previous prime (1005505219) and next prime (1005505223).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005505221 - 2¹ = 1005505219 is a prime.

It is a super-2 number, since 2×1005505221² = 2022081498916517682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 47881201 = 1005505221 / (1 + 0 + 0 + 5 + 5 + 0 + 5 + 2 + 2 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005505223) 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 7 ways as a sum of consecutive naturals, for example, 23940580 + ... + 23940621.

It is an arithmetic number, because the mean of its divisors is an integer number (191524808).

Almost surely, 2^1005505221 is an apocalyptic number.

It is an amenable number.

1005505221 is a deficient number, since it is larger than the sum of its proper divisors (526693243).

1005505221 is an equidigital number, since it uses as much as digits as its factorization.

1005505221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47881211.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1005505221 is about 31709.7023164835. The cubic root of 1005505221 is about 1001.8317164330.

The spelling of 1005505221 in words is "one billion, five million, five hundred five thousand, two hundred twenty-one".