10513656541 has 16 divisors (see below), whose sum is σ = 10915906048. Its totient is φ = 10115539200.

The previous prime is 10513656533. The next prime is 10513656557. The reversal of 10513656541 is 14565631501.

It is a cyclic number.

It is not a de Polignac number, because 10513656541 - 2³ = 10513656533 is a prime.

It is a super-3 number, since 3×10513656541³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10513656541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513656581) 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 15 ways as a sum of consecutive naturals, for example, 4433086 + ... + 4435456.

It is an arithmetic number, because the mean of its divisors is an integer number (682244128).

Almost surely, 2^10513656541 is an apocalyptic number.

It is an amenable number.

10513656541 is a deficient number, since it is larger than the sum of its proper divisors (402249507).

10513656541 is a wasteful number, since it uses less digits than its factorization.

10513656541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 10513656541 in words is "ten billion, five hundred thirteen million, six hundred fifty-six thousand, five hundred forty-one".