3637161361 has 2 divisors, whose sum is σ = 3637161362. Its totient is φ = 3637161360.

The previous prime is 3637161331. The next prime is 3637161389. The reversal of 3637161361 is 1631617363.

3637161361 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., 3338528400 + 298632961 = 57780^2 + 17281^2 .

It is a cyclic number.

It is not a de Polignac number, because 3637161361 - 2⁵ = 3637161329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3637161361.

It is not a weakly prime, because it can be changed into another prime (3637161331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1818580680 + 1818580681.

It is an arithmetic number, because the mean of its divisors is an integer number (1818580681).

Almost surely, 2^3637161361 is an apocalyptic number.

It is an amenable number.

3637161361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3637161361 is an equidigital number, since it uses as much as digits as its factorization.

3637161361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40824, while the sum is 37.

The square root of 3637161361 is about 60308.8829360982. The cubic root of 3637161361 is about 1537.8743599042.

The spelling of 3637161361 in words is "three billion, six hundred thirty-seven million, one hundred sixty-one thousand, three hundred sixty-one".