1005413013 has 64 divisors (see below), whose sum is σ = 1670860800. Its totient is φ = 592375680.

The previous prime is 1005413009. The next prime is 1005413033. The reversal of 1005413013 is 3103145001.

It is not a de Polignac number, because 1005413013 - 2² = 1005413009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005413033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712506 + ... + 1713092.

It is an arithmetic number, because the mean of its divisors is an integer number (26107200).

Almost surely, 2^1005413013 is an apocalyptic number.

It is an amenable number.

1005413013 is a deficient number, since it is larger than the sum of its proper divisors (665447787).

1005413013 is a wasteful number, since it uses less digits than its factorization.

1005413013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

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

The square root of 1005413013 is about 31708.2483432939. The cubic root of 1005413013 is about 1001.8010917875.

Adding to 1005413013 its reverse (3103145001), we get a palindrome (4108558014).

The spelling of 1005413013 in words is "one billion, five million, four hundred thirteen thousand, thirteen".