162531624116137 has 2 divisors, whose sum is σ = 162531624116138. Its totient is φ = 162531624116136.

The previous prime is 162531624116117. The next prime is 162531624116161. The reversal of 162531624116137 is 731611426135261.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152275131080361 + 10256493035776 = 12339981^2 + 3202576^2 .

It is a cyclic number.

It is not a de Polignac number, because 162531624116137 - 2¹⁵ = 162531624083369 is a prime.

It is not a weakly prime, because it can be changed into another prime (162531624116117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81265812058068 + 81265812058069.

It is an arithmetic number, because the mean of its divisors is an integer number (81265812058069).

Almost surely, 2^{162531624116137} is an apocalyptic number.

It is an amenable number.

162531624116137 is a deficient number, since it is larger than the sum of its proper divisors (1).

162531624116137 is an equidigital number, since it uses as much as digits as its factorization.

162531624116137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1088640, while the sum is 49.

The spelling of 162531624116137 in words is "one hundred sixty-two trillion, five hundred thirty-one billion, six hundred twenty-four million, one hundred sixteen thousand, one hundred thirty-seven".