10006005506 has 24 divisors (see below), whose sum is σ = 17463839436. Its totient is φ = 4287212160.

The previous prime is 10006005481. The next prime is 10006005533. The reversal of 10006005506 is 60550060001.

It can be written as a sum of positive squares in 2 ways, for example, as 9281588281 + 724417225 = 96341^2 + 26915^2 .

It is a super-2 number, since 2×10006005506² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473486 + ... + 494166.

Almost surely, 2^10006005506 is an apocalyptic number.

10006005506 is a deficient number, since it is larger than the sum of its proper divisors (7457833930).

10006005506 is a wasteful number, since it uses less digits than its factorization.

10006005506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25634 (or 25627 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 10006005506 its reverse (60550060001), we get a palindrome (70556065507).

The spelling of 10006005506 in words is "ten billion, six million, five thousand, five hundred six".