36131257 has 2 divisors, whose sum is σ = 36131258. Its totient is φ = 36131256.

The previous prime is 36131237. The next prime is 36131269. The reversal of 36131257 is 75213163.

36131257 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., 20259001 + 15872256 = 4501^2 + 3984^2 .

It is an emirp because it is prime and its reverse (75213163) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36131257 is a prime.

It is not a weakly prime, because it can be changed into another prime (36131237) 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, 18065628 + 18065629.

It is an arithmetic number, because the mean of its divisors is an integer number (18065629).

Almost surely, 2^36131257 is an apocalyptic number.

It is an amenable number.

36131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

36131257 is an equidigital number, since it uses as much as digits as its factorization.

36131257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 36131257 is about 6010.9281313288. The cubic root of 36131257 is about 330.5935354436.

The spelling of 36131257 in words is "thirty-six million, one hundred thirty-one thousand, two hundred fifty-seven".