1005001013 has 4 divisors (see below), whose sum is σ = 1009507968. Its totient is φ = 1000494060.

The previous prime is 1005001009. The next prime is 1005001021. The reversal of 1005001013 is 3101005001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3101005001 = 137 ⋅22635073.

It is a cyclic number.

It is not a de Polignac number, because 1005001013 - 2² = 1005001009 is a prime.

It is a super-2 number, since 2×1005001013² = 2020054072262052338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005000985 and 1005001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005001043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2253143 + ... + 2253588.

It is an arithmetic number, because the mean of its divisors is an integer number (252376992).

Almost surely, 2^1005001013 is an apocalyptic number.

It is an amenable number.

1005001013 is a deficient number, since it is larger than the sum of its proper divisors (4506955).

1005001013 is an equidigital number, since it uses as much as digits as its factorization.

1005001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506954.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 1005001013 is about 31701.7509453342. The cubic root of 1005001013 is about 1001.6642331250.

Adding to 1005001013 its reverse (3101005001), we get a palindrome (4106006014).

The spelling of 1005001013 in words is "one billion, five million, one thousand, thirteen".