35331166041137 has 2 divisors, whose sum is σ = 35331166041138. Its totient is φ = 35331166041136.

The previous prime is 35331166041131. The next prime is 35331166041139. The reversal of 35331166041137 is 73114066113353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24697560272896 + 10633605768241 = 4969664^2 + 3260921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35331166041137 is a prime.

Together with 35331166041139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (35331166041131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17665583020568 + 17665583020569.

It is an arithmetic number, because the mean of its divisors is an integer number (17665583020569).

Almost surely, 2^{35331166041137} is an apocalyptic number.

It is an amenable number.

35331166041137 is a deficient number, since it is larger than the sum of its proper divisors (1).

35331166041137 is an equidigital number, since it uses as much as digits as its factorization.

35331166041137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 35331166041137 in words is "thirty-five trillion, three hundred thirty-one billion, one hundred sixty-six million, forty-one thousand, one hundred thirty-seven".