66181175125 has 16 divisors (see below), whose sum is σ = 88947501552. Its totient is φ = 48872251200.

The previous prime is 66181175113. The next prime is 66181175149. The reversal of 66181175125 is 52157118166.

It can be written as a sum of positive squares in 8 ways, for example, as 30329267409 + 35851907716 = 174153^2 + 189346^2 .

It is not a de Polignac number, because 66181175125 - 2¹⁷ = 66181044053 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20361814 + ... + 20365063.

It is an arithmetic number, because the mean of its divisors is an integer number (5559218847).

Almost surely, 2^66181175125 is an apocalyptic number.

66181175125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66181175125 is a deficient number, since it is larger than the sum of its proper divisors (22766326427).

66181175125 is a wasteful number, since it uses less digits than its factorization.

66181175125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40726905 (or 40726895 counting only the distinct ones).

The product of its digits is 100800, while the sum is 43.

The spelling of 66181175125 in words is "sixty-six billion, one hundred eighty-one million, one hundred seventy-five thousand, one hundred twenty-five".