1005340204513 has 16 divisors (see below), whose sum is σ = 1092237640704. Its totient is φ = 921603248640.

The previous prime is 1005340204507. The next prime is 1005340204529. The reversal of 1005340204513 is 3154020435001.

1005340204513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005340204513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005340204543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765045 + ... + 1611202.

It is an arithmetic number, because the mean of its divisors is an integer number (68264852544).

Almost surely, 2^{1005340204513} is an apocalyptic number.

It is an amenable number.

1005340204513 is a deficient number, since it is larger than the sum of its proper divisors (86897436191).

1005340204513 is a wasteful number, since it uses less digits than its factorization.

1005340204513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376912.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 1005340204513 its reverse (3154020435001), we get a palindrome (4159360639514).

The spelling of 1005340204513 in words is "one trillion, five billion, three hundred forty million, two hundred four thousand, five hundred thirteen".