90085742405537 has 2 divisors, whose sum is σ = 90085742405538. Its totient is φ = 90085742405536.

The previous prime is 90085742405453. The next prime is 90085742405587. The reversal of 90085742405537 is 73550424758009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89636794164241 + 448948241296 = 9467671^2 + 670036^2 .

It is a cyclic number.

It is not a de Polignac number, because 90085742405537 - 2²⁸ = 90085473970081 is a prime.

It is not a weakly prime, because it can be changed into another prime (90085742405587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45042871202768 + 45042871202769.

It is an arithmetic number, because the mean of its divisors is an integer number (45042871202769).

Almost surely, 2^{90085742405537} is an apocalyptic number.

It is an amenable number.

90085742405537 is a deficient number, since it is larger than the sum of its proper divisors (1).

90085742405537 is an equidigital number, since it uses as much as digits as its factorization.

90085742405537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336000, while the sum is 59.

The spelling of 90085742405537 in words is "ninety trillion, eighty-five billion, seven hundred forty-two million, four hundred five thousand, five hundred thirty-seven".