10666301625 has 72 divisors (see below), whose sum is σ = 22367132424. Its totient is φ = 4875998400.

The previous prime is 10666301621. The next prime is 10666301663. The reversal of 10666301625 is 52610366601.

10666301625 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 198556281 + 10467745344 = 14091^2 + 102312^2 .

It is not a de Polignac number, because 10666301625 - 2² = 10666301621 is a prime.

It is a super-2 number, since 2×10666301625² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10666301625.

It is not an unprimeable number, because it can be changed into a prime (10666301621) 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 71 ways as a sum of consecutive naturals, for example, 41622 + ... + 151871.

It is an arithmetic number, because the mean of its divisors is an integer number (310654617).

Almost surely, 2^10666301625 is an apocalyptic number.

10666301625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10666301625 is an abundant number, since it is smaller than the sum of its proper divisors (11700830799).

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

10666301625 is a wasteful number, since it uses less digits than its factorization.

10666301625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193528 (or 193508 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10666301625 in words is "ten billion, six hundred sixty-six million, three hundred one thousand, six hundred twenty-five".