1005001000505 has 8 divisors (see below), whose sum is σ = 1217272240512. Its totient is φ = 796486773808.

The previous prime is 1005001000483. The next prime is 1005001000561. The reversal of 1005001000505 is 5050001005001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005001000505 - 2¹² = 1005000996409 is a prime.

It is a super-2 number, since 2×1005001000505² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939252737 + ... + 939253806.

It is an arithmetic number, because the mean of its divisors is an integer number (152159030064).

Almost surely, 2^{1005001000505} is an apocalyptic number.

It is an amenable number.

1005001000505 is a deficient number, since it is larger than the sum of its proper divisors (212271240007).

1005001000505 is a wasteful number, since it uses less digits than its factorization.

1005001000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878506655.

The product of its (nonzero) digits is 125, while the sum is 17.

Adding to 1005001000505 its reverse (5050001005001), we get a palindrome (6055002005506).

The spelling of 1005001000505 in words is "one trillion, five billion, one million, five hundred five", and thus it is an aban number.