90031638041 has 2 divisors, whose sum is σ = 90031638042. Its totient is φ = 90031638040.

The previous prime is 90031638031. The next prime is 90031638107. The reversal of 90031638041 is 14083613009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60920112400 + 29111525641 = 246820^2 + 170621^2 .

It is an emirp because it is prime and its reverse (14083613009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90031638041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90031637992 and 90031638010.

It is not a weakly prime, because it can be changed into another prime (90031638031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45015819020 + 45015819021.

It is an arithmetic number, because the mean of its divisors is an integer number (45015819021).

Almost surely, 2^90031638041 is an apocalyptic number.

It is an amenable number.

90031638041 is a deficient number, since it is larger than the sum of its proper divisors (1).

90031638041 is an equidigital number, since it uses as much as digits as its factorization.

90031638041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 90031638041 in words is "ninety billion, thirty-one million, six hundred thirty-eight thousand, forty-one".