1005000513 has 16 divisors (see below), whose sum is σ = 1486598400. Its totient is φ = 598766480.

The previous prime is 1005000473. The next prime is 1005000547. The reversal of 1005000513 is 3150005001.

It is a cyclic number.

It is not a de Polignac number, because 1005000513 - 2⁶ = 1005000449 is a prime.

It is a super-2 number, since 2×1005000513² = 2020052062260526338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005000492 and 1005000501.

It is not an unprimeable number, because it can be changed into a prime (1005000613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256143 + ... + 260036.

It is an arithmetic number, because the mean of its divisors is an integer number (92912400).

Almost surely, 2^1005000513 is an apocalyptic number.

It is an amenable number.

1005000513 is a deficient number, since it is larger than the sum of its proper divisors (481597887).

1005000513 is a wasteful number, since it uses less digits than its factorization.

1005000513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516252.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1005000513 is about 31701.7430593335. The cubic root of 1005000513 is about 1001.6640670116.

Adding to 1005000513 its reverse (3150005001), we get a palindrome (4155005514).

The spelling of 1005000513 in words is "one billion, five million, five hundred thirteen", and thus it is an aban number.