10517865312 has 24 divisors (see below), whose sum is σ = 27609396696. Its totient is φ = 3505955072.

The previous prime is 10517865311. The next prime is 10517865329. The reversal of 10517865312 is 21356871501.

10517865312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10517865312² (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 (10517865311) 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 3 ways as a sum of consecutive naturals, for example, 54780453 + ... + 54780644.

It is an arithmetic number, because the mean of its divisors is an integer number (1150391529).

Almost surely, 2^10517865312 is an apocalyptic number.

10517865312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10517865312 is an abundant number, since it is smaller than the sum of its proper divisors (17091531384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10517865312 is a wasteful number, since it uses less digits than its factorization.

10517865312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109561110 (or 109561102 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 10517865312 in words is "ten billion, five hundred seventeen million, eight hundred sixty-five thousand, three hundred twelve".