10606542513 has 32 divisors (see below), whose sum is σ = 16457886720. Its totient is φ = 5950326720.

The previous prime is 10606542511. The next prime is 10606542559. The reversal of 10606542513 is 31524560601.

It is not a de Polignac number, because 10606542513 - 2¹ = 10606542511 is a prime.

It is a super-3 number, since 3×10606542513³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10606542511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012006 + ... + 1022432.

It is an arithmetic number, because the mean of its divisors is an integer number (514308960).

Almost surely, 2^10606542513 is an apocalyptic number.

It is an amenable number.

10606542513 is a deficient number, since it is larger than the sum of its proper divisors (5851344207).

10606542513 is a wasteful number, since it uses less digits than its factorization.

10606542513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10606542513 in words is "ten billion, six hundred six million, five hundred forty-two thousand, five hundred thirteen".