67000131935281 has 2 divisors, whose sum is σ = 67000131935282. Its totient is φ = 67000131935280.

The previous prime is 67000131935257. The next prime is 67000131935299. The reversal of 67000131935281 is 18253913100076.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64307825254656 + 2692306680625 = 8019216^2 + 1640825^2 .

It is a cyclic number.

It is not a de Polignac number, because 67000131935281 - 2³⁵ = 66965772196913 is a prime.

It is a super-2 number, since 2×67000131935281² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67000131965281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33500065967640 + 33500065967641.

It is an arithmetic number, because the mean of its divisors is an integer number (33500065967641).

Almost surely, 2^{67000131935281} is an apocalyptic number.

It is an amenable number.

67000131935281 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000131935281 is an equidigital number, since it uses as much as digits as its factorization.

67000131935281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 67000131935281 in words is "sixty-seven trillion, one hundred thirty-one million, nine hundred thirty-five thousand, two hundred eighty-one".