66125225652123 has 32 divisors (see below), whose sum is σ = 97962577977600. Its totient is φ = 39340526860800.

The previous prime is 66125225652047. The next prime is 66125225652131. The reversal of 66125225652123 is 32125652252166.

It is not a de Polignac number, because 66125225652123 - 2²⁸ = 66124957216667 is a prime.

It is a super-2 number, since 2×66125225652123² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66125225652163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80579338 + ... + 81395823.

It is an arithmetic number, because the mean of its divisors is an integer number (3061330561800).

Almost surely, 2^{66125225652123} is an apocalyptic number.

66125225652123 is a deficient number, since it is larger than the sum of its proper divisors (31837352325477).

66125225652123 is a wasteful number, since it uses less digits than its factorization.

66125225652123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161975403.

The product of its digits is 2592000, while the sum is 48.

The spelling of 66125225652123 in words is "sixty-six trillion, one hundred twenty-five billion, two hundred twenty-five million, six hundred fifty-two thousand, one hundred twenty-three".