22081242977137 has 2 divisors, whose sum is σ = 22081242977138. Its totient is φ = 22081242977136.

The previous prime is 22081242977023. The next prime is 22081242977149. The reversal of 22081242977137 is 73177924218022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20031675656976 + 2049567320161 = 4475676^2 + 1431631^2 .

It is a cyclic number.

It is not a de Polignac number, because 22081242977137 - 2³¹ = 22079095493489 is a prime.

It is not a weakly prime, because it can be changed into another prime (22081242977837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11040621488568 + 11040621488569.

It is an arithmetic number, because the mean of its divisors is an integer number (11040621488569).

Almost surely, 2^{22081242977137} is an apocalyptic number.

It is an amenable number.

22081242977137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22081242977137 is an equidigital number, since it uses as much as digits as its factorization.

22081242977137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 22081242977137 in words is "twenty-two trillion, eighty-one billion, two hundred forty-two million, nine hundred seventy-seven thousand, one hundred thirty-seven".