1005249213 has 12 divisors (see below), whose sum is σ = 1453021180. Its totient is φ = 669707136.

The previous prime is 1005249209. The next prime is 1005249221. The reversal of 1005249213 is 3129425001.

It can be written as a sum of positive squares in 2 ways, for example, as 660849849 + 344399364 = 25707^2 + 18558^2 .

It is not a de Polignac number, because 1005249213 - 2² = 1005249209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005249233) 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, 24106 + ... + 50907.

Almost surely, 2^1005249213 is an apocalyptic number.

It is an amenable number.

1005249213 is a deficient number, since it is larger than the sum of its proper divisors (447771967).

1005249213 is a wasteful number, since it uses less digits than its factorization.

1005249213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76508 (or 76505 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1005249213 is about 31705.6653139467. The cubic root of 1005249213 is about 1001.7466849819.

The spelling of 1005249213 in words is "one billion, five million, two hundred forty-nine thousand, two hundred thirteen".