33681377137 has 2 divisors, whose sum is σ = 33681377138. Its totient is φ = 33681377136.

The previous prime is 33681377111. The next prime is 33681377153. The reversal of 33681377137 is 73177318633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30932367376 + 2749009761 = 175876^2 + 52431^2 .

It is a cyclic number.

It is not a de Polignac number, because 33681377137 - 2²⁷ = 33547159409 is a prime.

It is a super-2 number, since 2×33681377137² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33681374137) 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, 16840688568 + 16840688569.

It is an arithmetic number, because the mean of its divisors is an integer number (16840688569).

Almost surely, 2^33681377137 is an apocalyptic number.

It is an amenable number.

33681377137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33681377137 is an equidigital number, since it uses as much as digits as its factorization.

33681377137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1333584, while the sum is 49.

The spelling of 33681377137 in words is "thirty-three billion, six hundred eighty-one million, three hundred seventy-seven thousand, one hundred thirty-seven".