66731012657125 has 16 divisors (see below), whose sum is σ = 85531122823536. Its totient is φ = 51941977416000.

The previous prime is 66731012657107. The next prime is 66731012657191. The reversal of 66731012657125 is 52175621013766.

66731012657125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15952946644996 + 50778066012129 = 3994114^2 + 7125873^2 .

It is not a de Polignac number, because 66731012657125 - 2⁵ = 66731012657093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7214158906 + ... + 7214168155.

It is an arithmetic number, because the mean of its divisors is an integer number (5345695176471).

Almost surely, 2^{66731012657125} is an apocalyptic number.

It is an amenable number.

66731012657125 is a deficient number, since it is larger than the sum of its proper divisors (18800110166411).

66731012657125 is a wasteful number, since it uses less digits than its factorization.

66731012657125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14428327113 (or 14428327103 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 66731012657125 in words is "sixty-six trillion, seven hundred thirty-one billion, twelve million, six hundred fifty-seven thousand, one hundred twenty-five".