10008517521 has 16 divisors (see below), whose sum is σ = 13493213888. Its totient is φ = 6598195200.

The previous prime is 10008517513. The next prime is 10008517543. The reversal of 10008517521 is 12571580001.

10008517521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10008517521 - 2³ = 10008517513 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10008517511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 362361 + ... + 389001.

It is an arithmetic number, because the mean of its divisors is an integer number (843325868).

Almost surely, 2^10008517521 is an apocalyptic number.

It is an amenable number.

10008517521 is a deficient number, since it is larger than the sum of its proper divisors (3484696367).

10008517521 is a wasteful number, since it uses less digits than its factorization.

10008517521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28032.

The product of its (nonzero) digits is 2800, while the sum is 30.

The spelling of 10008517521 in words is "ten billion, eight million, five hundred seventeen thousand, five hundred twenty-one".