1005163713 has 24 divisors (see below), whose sum is σ = 1470381120. Its totient is φ = 661620960.

The previous prime is 1005163639. The next prime is 1005163721. The reversal of 1005163713 is 3173615001.

1005163713 is a `hidden beast` number, since 10 + 0 + 5 + 1 + 637 + 13 = 666.

It is not a de Polignac number, because 1005163713 - 2¹³ = 1005155521 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005163763) 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, 349903 + ... + 352763.

It is an arithmetic number, because the mean of its divisors is an integer number (61265880).

Almost surely, 2^1005163713 is an apocalyptic number.

It is an amenable number.

1005163713 is a deficient number, since it is larger than the sum of its proper divisors (465217407).

1005163713 is a wasteful number, since it uses less digits than its factorization.

1005163713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1005163713 is about 31704.3169458041. The cubic root of 1005163713 is about 1001.7182834775.

Adding to 1005163713 its reverse (3173615001), we get a palindrome (4178778714).

The spelling of 1005163713 in words is "one billion, five million, one hundred sixty-three thousand, seven hundred thirteen".