1005413211 has 24 divisors (see below), whose sum is σ = 1586070720. Its totient is φ = 608655600.

The previous prime is 1005413203. The next prime is 1005413239. The reversal of 1005413211 is 1123145001.

1005413211 is a `hidden beast` number, since 100 + 541 + 3 + 21 + 1 = 666.

It is not a de Polignac number, because 1005413211 - 2³ = 1005413203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005413281) 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, 90900 + ... + 101358.

It is an arithmetic number, because the mean of its divisors is an integer number (66086280).

Almost surely, 2^1005413211 is an apocalyptic number.

1005413211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005413211 is a deficient number, since it is larger than the sum of its proper divisors (580657509).

1005413211 is a wasteful number, since it uses less digits than its factorization.

1005413211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005413211 is about 31708.2514655097. The cubic root of 1005413211 is about 1001.8011575504.

Adding to 1005413211 its reverse (1123145001), we get a palindrome (2128558212).

The spelling of 1005413211 in words is "one billion, five million, four hundred thirteen thousand, two hundred eleven".