90305853577 has 2 divisors, whose sum is σ = 90305853578. Its totient is φ = 90305853576.

The previous prime is 90305853571. The next prime is 90305853607. The reversal of 90305853577 is 77535850309.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48606579961 + 41699273616 = 220469^2 + 204204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90305853577 is a prime.

It is not a weakly prime, because it can be changed into another prime (90305853571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45152926788 + 45152926789.

It is an arithmetic number, because the mean of its divisors is an integer number (45152926789).

Almost surely, 2^90305853577 is an apocalyptic number.

It is an amenable number.

90305853577 is a deficient number, since it is larger than the sum of its proper divisors (1).

90305853577 is an equidigital number, since it uses as much as digits as its factorization.

90305853577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969000, while the sum is 52.

The spelling of 90305853577 in words is "ninety billion, three hundred five million, eight hundred fifty-three thousand, five hundred seventy-seven".