208733514217681 has 2 divisors, whose sum is σ = 208733514217682. Its totient is φ = 208733514217680.

The previous prime is 208733514217639. The next prime is 208733514217853. The reversal of 208733514217681 is 186712415337802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121586789689600 + 87146724528081 = 11026640^2 + 9335241^2 .

It is a cyclic number.

It is not a de Polignac number, because 208733514217681 - 2⁹ = 208733514217169 is a prime.

It is a super-2 number, since 2×208733514217681² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (208733514211681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104366757108840 + 104366757108841.

It is an arithmetic number, because the mean of its divisors is an integer number (104366757108841).

Almost surely, 2^{208733514217681} is an apocalyptic number.

It is an amenable number.

208733514217681 is a deficient number, since it is larger than the sum of its proper divisors (1).

208733514217681 is an equidigital number, since it uses as much as digits as its factorization.

208733514217681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 208733514217681 in words is "two hundred eight trillion, seven hundred thirty-three billion, five hundred fourteen million, two hundred seventeen thousand, six hundred eighty-one".