2261085193 has 2 divisors, whose sum is σ = 2261085194. Its totient is φ = 2261085192.

The previous prime is 2261085191. The next prime is 2261085251. The reversal of 2261085193 is 3915801622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1260818064 + 1000267129 = 35508^2 + 31627^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261085193 - 2¹ = 2261085191 is a prime.

It is a super-2 number, since 2×2261085193² = 10225012500007694498, which contains 22 as substring.

Together with 2261085191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2261085191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130542596 + 1130542597.

It is an arithmetic number, because the mean of its divisors is an integer number (1130542597).

Almost surely, 2^2261085193 is an apocalyptic number.

It is an amenable number.

2261085193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261085193 is an equidigital number, since it uses as much as digits as its factorization.

2261085193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 2261085193 is about 47550.8695293787. The cubic root of 2261085193 is about 1312.5191300371.

The spelling of 2261085193 in words is "two billion, two hundred sixty-one million, eighty-five thousand, one hundred ninety-three".