90582432524641 has 2 divisors, whose sum is σ = 90582432524642. Its totient is φ = 90582432524640.

The previous prime is 90582432524581. The next prime is 90582432524663. The reversal of 90582432524641 is 14642523428509.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77208205712400 + 13374226812241 = 8786820^2 + 3657079^2 .

It is a cyclic number.

It is not a de Polignac number, because 90582432524641 - 2¹⁷ = 90582432393569 is a prime.

It is a super-2 number, since 2×90582432524641² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90582432524041) 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, 45291216262320 + 45291216262321.

It is an arithmetic number, because the mean of its divisors is an integer number (45291216262321).

Almost surely, 2^{90582432524641} is an apocalyptic number.

It is an amenable number.

90582432524641 is a deficient number, since it is larger than the sum of its proper divisors (1).

90582432524641 is an equidigital number, since it uses as much as digits as its factorization.

90582432524641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 90582432524641 in words is "ninety trillion, five hundred eighty-two billion, four hundred thirty-two million, five hundred twenty-four thousand, six hundred forty-one".