10001000000505 has 32 divisors (see below), whose sum is σ = 16052259225600. Its totient is φ = 5316986529792.

The previous prime is 10001000000489. The next prime is 10001000000591. The reversal of 10001000000505 is 50500000010001.

It is not a de Polignac number, because 10001000000505 - 2⁴ = 10001000000489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25683301 + ... + 26069789.

It is an arithmetic number, because the mean of its divisors is an integer number (501633100800).

Almost surely, 2^{10001000000505} is an apocalyptic number.

10001000000505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001000000505 is a deficient number, since it is larger than the sum of its proper divisors (6051259225095).

10001000000505 is a wasteful number, since it uses less digits than its factorization.

10001000000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391953.

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 10001000000505 its reverse (50500000010001), we get a palindrome (60501000010506).

The spelling of 10001000000505 in words is "ten trillion, one billion, five hundred five", and thus it is an aban number.