2037638333117 has 2 divisors, whose sum is σ = 2037638333118. Its totient is φ = 2037638333116.

The previous prime is 2037638333111. The next prime is 2037638333149. The reversal of 2037638333117 is 7113338367302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1023969943396 + 1013668389721 = 1011914^2 + 1006811^2 .

It is a cyclic number.

It is not a de Polignac number, because 2037638333117 - 2⁶ = 2037638333053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2037638333111) 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, 1018819166558 + 1018819166559.

It is an arithmetic number, because the mean of its divisors is an integer number (1018819166559).

Almost surely, 2^{2037638333117} is an apocalyptic number.

It is an amenable number.

2037638333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2037638333117 is an equidigital number, since it uses as much as digits as its factorization.

2037638333117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 47.

The spelling of 2037638333117 in words is "two trillion, thirty-seven billion, six hundred thirty-eight million, three hundred thirty-three thousand, one hundred seventeen".