1005312213 has 12 divisors (see below), whose sum is σ = 1455744108. Its totient is φ = 668534400.

The previous prime is 1005312199. The next prime is 1005312233. The reversal of 1005312213 is 3122135001.

1005312213 is a `hidden beast` number, since 100 + 531 + 22 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 873911844 + 131400369 = 29562^2 + 11463^2 .

It is not a de Polignac number, because 1005312213 - 2⁵ = 1005312181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005312233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135670 + ... + 142887.

It is an arithmetic number, because the mean of its divisors is an integer number (121312009).

Almost surely, 2^1005312213 is an apocalyptic number.

It is an amenable number.

1005312213 is a deficient number, since it is larger than the sum of its proper divisors (450431895).

1005312213 is a wasteful number, since it uses less digits than its factorization.

1005312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278964 (or 278961 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1005312213 is about 31706.6588116755. The cubic root of 1005312213 is about 1001.7676113758.

Adding to 1005312213 its reverse (3122135001), we get a palindrome (4127447214).

The spelling of 1005312213 in words is "one billion, five million, three hundred twelve thousand, two hundred thirteen".