61333436261137 has 2 divisors, whose sum is σ = 61333436261138. Its totient is φ = 61333436261136.

The previous prime is 61333436261107. The next prime is 61333436261171. The reversal of 61333436261137 is 73116263433316.

61333436261137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48648448824336 + 12684987436801 = 6974844^2 + 3561599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61333436261137 is a prime.

It is not a weakly prime, because it can be changed into another prime (61333436261107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30666718130568 + 30666718130569.

It is an arithmetic number, because the mean of its divisors is an integer number (30666718130569).

Almost surely, 2^{61333436261137} is an apocalyptic number.

It is an amenable number.

61333436261137 is a deficient number, since it is larger than the sum of its proper divisors (1).

61333436261137 is an equidigital number, since it uses as much as digits as its factorization.

61333436261137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328, while the sum is 49.

The spelling of 61333436261137 in words is "sixty-one trillion, three hundred thirty-three billion, four hundred thirty-six million, two hundred sixty-one thousand, one hundred thirty-seven".