90517659769541 has 2 divisors, whose sum is σ = 90517659769542. Its totient is φ = 90517659769540.

The previous prime is 90517659769531. The next prime is 90517659769543. The reversal of 90517659769541 is 14596795671509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75960306301441 + 14557353468100 = 8715521^2 + 3815410^2 .

It is a cyclic number.

It is not a de Polignac number, because 90517659769541 - 2¹⁸ = 90517659507397 is a prime.

It is a Sophie Germain prime.

Together with 90517659769543, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90517659769543) 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, 45258829884770 + 45258829884771.

It is an arithmetic number, because the mean of its divisors is an integer number (45258829884771).

Almost surely, 2^{90517659769541} is an apocalyptic number.

It is an amenable number.

90517659769541 is a deficient number, since it is larger than the sum of its proper divisors (1).

90517659769541 is an equidigital number, since it uses as much as digits as its factorization.

90517659769541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 642978000, while the sum is 74.

The spelling of 90517659769541 in words is "ninety trillion, five hundred seventeen billion, six hundred fifty-nine million, seven hundred sixty-nine thousand, five hundred forty-one".