1005100510505 has 32 divisors (see below), whose sum is σ = 1498329633024. Its totient is φ = 630249705216.

The previous prime is 1005100510483. The next prime is 1005100510523. The reversal of 1005100510505 is 5050150015001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005100510505 - 2¹⁴ = 1005100494121 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10273802 + ... + 10371171.

It is an arithmetic number, because the mean of its divisors is an integer number (46822801032).

Almost surely, 2^{1005100510505} is an apocalyptic number.

It is an amenable number.

1005100510505 is a deficient number, since it is larger than the sum of its proper divisors (493229122519).

1005100510505 is a wasteful number, since it uses less digits than its factorization.

1005100510505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20645105.

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 1005100510505 its reverse (5050150015001), we get a palindrome (6055250525506).

The spelling of 1005100510505 in words is "one trillion, five billion, one hundred million, five hundred ten thousand, five hundred five".