12825730524137 has 2 divisors, whose sum is σ = 12825730524138. Its totient is φ = 12825730524136.

The previous prime is 12825730524043. The next prime is 12825730524143. The reversal of 12825730524137 is 73142503752821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7377329583376 + 5448400940761 = 2716124^2 + 2334181^2 .

It is an emirp because it is prime and its reverse (73142503752821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12825730524137 - 2¹⁴ = 12825730507753 is a prime.

It is not a weakly prime, because it can be changed into another prime (12825730520137) by changing a digit.

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 as a sum of consecutive naturals, namely, 6412865262068 + 6412865262069.

It is an arithmetic number, because the mean of its divisors is an integer number (6412865262069).

Almost surely, 2^{12825730524137} is an apocalyptic number.

It is an amenable number.

12825730524137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12825730524137 is an equidigital number, since it uses as much as digits as its factorization.

12825730524137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 12825730524137 in words is "twelve trillion, eight hundred twenty-five billion, seven hundred thirty million, five hundred twenty-four thousand, one hundred thirty-seven".