10000505001005 has 8 divisors (see below), whose sum is σ = 12015082008600. Its totient is φ = 7990753329216.

The previous prime is 10000505000999. The next prime is 10000505001029. The reversal of 10000505001005 is 50010050500001.

It can be written as a sum of positive squares in 4 ways, for example, as 1546588217161 + 8453916783844 = 1243619^2 + 2907562^2 .

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 10000505001005 - 2⁸ = 10000505000749 is a prime.

It is a Curzon number.

It is a congruent 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, 1206329390 + ... + 1206337679.

It is an arithmetic number, because the mean of its divisors is an integer number (1501885251075).

Almost surely, 2^{10000505001005} is an apocalyptic number.

It is an amenable number.

10000505001005 is a deficient number, since it is larger than the sum of its proper divisors (2014577007595).

10000505001005 is an equidigital number, since it uses as much as digits as its factorization.

10000505001005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412667903.

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

Adding to 10000505001005 its reverse (50010050500001), we get a palindrome (60010555501006).

The spelling of 10000505001005 in words is "ten trillion, five hundred five million, one thousand, five".