10526460564125 has 32 divisors (see below), whose sum is σ = 14338654387200. Its totient is φ = 7651677768000.

The previous prime is 10526460564121. The next prime is 10526460564173. The reversal of 10526460564125 is 52146506462501.

10526460564125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10526460564125 - 2² = 10526460564121 is a prime.

It is a super-3 number, since 3×10526460564125³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10526460564125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526460564121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715892 + ... + 4643858.

It is an arithmetic number, because the mean of its divisors is an integer number (448082949600).

Almost surely, 2^{10526460564125} is an apocalyptic number.

It is an amenable number.

10526460564125 is a deficient number, since it is larger than the sum of its proper divisors (3812193823075).

10526460564125 is a wasteful number, since it uses less digits than its factorization.

10526460564125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929942 (or 3929932 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 10526460564125 in words is "ten trillion, five hundred twenty-six billion, four hundred sixty million, five hundred sixty-four thousand, one hundred twenty-five".