2261591029 has 2 divisors, whose sum is σ = 2261591030. Its totient is φ = 2261591028.

The previous prime is 2261591011. The next prime is 2261591047. The reversal of 2261591029 is 9201951622.

It is a balanced prime because it is at equal distance from previous prime (2261591011) and next prime (2261591047).

It can be written as a sum of positive squares in only one way, i.e., 1762068529 + 499522500 = 41977^2 + 22350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261591029 - 2⁹ = 2261590517 is a prime.

It is a super-2 number, since 2×2261591029² = 10229587964906557682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2261591069) 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, 1130795514 + 1130795515.

It is an arithmetic number, because the mean of its divisors is an integer number (1130795515).

Almost surely, 2^2261591029 is an apocalyptic number.

It is an amenable number.

2261591029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261591029 is an equidigital number, since it uses as much as digits as its factorization.

2261591029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 2261591029 is about 47556.1881252062. The cubic root of 2261591029 is about 1312.6169989609.

The spelling of 2261591029 in words is "two billion, two hundred sixty-one million, five hundred ninety-one thousand, twenty-nine".