37775009485117 has 2 divisors, whose sum is σ = 37775009485118. Its totient is φ = 37775009485116.

The previous prime is 37775009485099. The next prime is 37775009485153. The reversal of 37775009485117 is 71158490057773.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35149851270361 + 2625158214756 = 5928731^2 + 1620234^2 .

It is a cyclic number.

It is not a de Polignac number, because 37775009485117 - 2²³ = 37775001096509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37775009485417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18887504742558 + 18887504742559.

It is an arithmetic number, because the mean of its divisors is an integer number (18887504742559).

Almost surely, 2^{37775009485117} is an apocalyptic number.

It is an amenable number.

37775009485117 is a deficient number, since it is larger than the sum of its proper divisors (1).

37775009485117 is an equidigital number, since it uses as much as digits as its factorization.

37775009485117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51861600, while the sum is 64.

The spelling of 37775009485117 in words is "thirty-seven trillion, seven hundred seventy-five billion, nine million, four hundred eighty-five thousand, one hundred seventeen".