2137566105937 has 2 divisors, whose sum is σ = 2137566105938. Its totient is φ = 2137566105936.

The previous prime is 2137566105907. The next prime is 2137566105973. The reversal of 2137566105937 is 7395016657312.

Together with next prime (2137566105973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1828217677456 + 309348428481 = 1352116^2 + 556191^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137566105937 - 2²⁷ = 2137431888209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2137566105907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068783052968 + 1068783052969.

It is an arithmetic number, because the mean of its divisors is an integer number (1068783052969).

Almost surely, 2^{2137566105937} is an apocalyptic number.

It is an amenable number.

2137566105937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137566105937 is an equidigital number, since it uses as much as digits as its factorization.

2137566105937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7144200, while the sum is 55.

The spelling of 2137566105937 in words is "two trillion, one hundred thirty-seven billion, five hundred sixty-six million, one hundred five thousand, nine hundred thirty-seven".