66162752537013 has 24 divisors (see below), whose sum is σ = 109743640574880. Its totient is φ = 37988183273760.

The previous prime is 66162752536987. The next prime is 66162752537039. The reversal of 66162752537013 is 31073525726166.

66162752537013 is a `hidden beast` number, since 6 + 6 + 1 + 627 + 5 + 2 + 5 + 3 + 7 + 0 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (66162752536987) and next prime (66162752537039).

It is not a de Polignac number, because 66162752537013 - 2¹⁴ = 66162752520629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66162752535013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17587120006 + ... + 17587123767.

It is an arithmetic number, because the mean of its divisors is an integer number (4572651690620).

Almost surely, 2^{66162752537013} is an apocalyptic number.

It is an amenable number.

66162752537013 is a deficient number, since it is larger than the sum of its proper divisors (43580888037867).

66162752537013 is a wasteful number, since it uses less digits than its factorization.

66162752537013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35174243809 (or 35174243806 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 66162752537013 in words is "sixty-six trillion, one hundred sixty-two billion, seven hundred fifty-two million, five hundred thirty-seven thousand, thirteen".