36133261 has 2 divisors, whose sum is σ = 36133262. Its totient is φ = 36133260.

The previous prime is 36133187. The next prime is 36133283. The reversal of 36133261 is 16233163.

36133261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19980900 + 16152361 = 4470^2 + 4019^2 .

It is a cyclic number.

It is not a de Polignac number, because 36133261 - 2⁷ = 36133133 is a prime.

It is a super-2 number, since 2×36133261² = 2611225100988242, which contains 22 as substring.

It is equal to p_2211946 and since 36133261 and 2211946 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36133291) 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, 18066630 + 18066631.

It is an arithmetic number, because the mean of its divisors is an integer number (18066631).

Almost surely, 2^36133261 is an apocalyptic number.

It is an amenable number.

36133261 is a deficient number, since it is larger than the sum of its proper divisors (1).

36133261 is an equidigital number, since it uses as much as digits as its factorization.

36133261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

The square root of 36133261 is about 6011.0948254041. The cubic root of 36133261 is about 330.5996473926.

The spelling of 36133261 in words is "thirty-six million, one hundred thirty-three thousand, two hundred sixty-one".