10500605565 has 16 divisors (see below), whose sum is σ = 16802857728. Its totient is φ = 5599693376.

The previous prime is 10500605551. The next prime is 10500605567. The reversal of 10500605565 is 56550600501.

It is a cyclic number.

It is not a de Polignac number, because 10500605565 - 2⁸ = 10500605309 is a prime.

It is a super-2 number, since 2×10500605565² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500605567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119107 + ... + 187583.

It is an arithmetic number, because the mean of its divisors is an integer number (1050178608).

Almost surely, 2^10500605565 is an apocalyptic number.

10500605565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500605565 is a deficient number, since it is larger than the sum of its proper divisors (6302252163).

10500605565 is a wasteful number, since it uses less digits than its factorization.

10500605565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78708.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10500605565 in words is "ten billion, five hundred million, six hundred five thousand, five hundred sixty-five".