1005505213 has 6 divisors (see below), whose sum is σ = 1061212254. Its totient is φ = 952583544.

The previous prime is 1005505183. The next prime is 1005505217. The reversal of 1005505213 is 3125055001.

It can be written as a sum of positive squares in only one way, i.e., 949749124 + 55756089 = 30818^2 + 7467^2 .

It is not a de Polignac number, because 1005505213 - 2¹⁷ = 1005374141 is a prime.

It is a super-2 number, since 2×1005505213² = 2022081466740350738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005505217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1392306 + ... + 1393027.

It is an arithmetic number, because the mean of its divisors is an integer number (176868709).

Almost surely, 2^1005505213 is an apocalyptic number.

It is an amenable number.

1005505213 is a deficient number, since it is larger than the sum of its proper divisors (55707041).

1005505213 is an equidigital number, since it uses as much as digits as its factorization.

1005505213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785371 (or 2785352 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1005505213 is about 31709.7021903392. The cubic root of 1005505213 is about 1001.8317137761.

The spelling of 1005505213 in words is "one billion, five million, five hundred five thousand, two hundred thirteen".