10513644516641 has 24 divisors (see below), whose sum is σ = 12343227128064. Its totient is φ = 8928764218080.

The previous prime is 10513644516631. The next prime is 10513644516643. The reversal of 10513644516641 is 14661544631501.

It is a happy number.

It is not a de Polignac number, because 10513644516641 - 2¹⁸ = 10513644254497 is a prime.

It is a super-2 number, since 2×10513644516641² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513644516643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25571 + ... + 4585623.

It is an arithmetic number, because the mean of its divisors is an integer number (514301130336).

Almost surely, 2^{10513644516641} is an apocalyptic number.

It is an amenable number.

10513644516641 is a deficient number, since it is larger than the sum of its proper divisors (1829582611423).

10513644516641 is a wasteful number, since it uses less digits than its factorization.

10513644516641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560501 (or 4560494 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 10513644516641 in words is "ten trillion, five hundred thirteen billion, six hundred forty-four million, five hundred sixteen thousand, six hundred forty-one".