2582442074137 has 2 divisors, whose sum is σ = 2582442074138. Its totient is φ = 2582442074136.

The previous prime is 2582442074111. The next prime is 2582442074153. The reversal of 2582442074137 is 7314702442852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2520016551936 + 62425522201 = 1587456^2 + 249851^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582442074137 - 2³⁹ = 2032686260249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2582442074837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291221037068 + 1291221037069.

It is an arithmetic number, because the mean of its divisors is an integer number (1291221037069).

Almost surely, 2^{2582442074137} is an apocalyptic number.

It is an amenable number.

2582442074137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582442074137 is an equidigital number, since it uses as much as digits as its factorization.

2582442074137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3010560, while the sum is 49.

The spelling of 2582442074137 in words is "two trillion, five hundred eighty-two billion, four hundred forty-two million, seventy-four thousand, one hundred thirty-seven".