208081033281 has 81 divisors (see below), whose sum is σ = 345933235011. Its totient is φ = 120425976000.

The previous prime is 208081033241. The next prime is 208081033297. The reversal of 208081033281 is 182330180802.

The square root of 208081033281 is 456159.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 174898767681 + 33182265600 = 418209^2 + 182160^2 .

It is not a de Polignac number, because 208081033281 - 2⁹ = 208081032769 is a prime.

It is a super-2 number, since 2×208081033281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208081033201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 346224381 + ... + 346224981.

Almost surely, 2^208081033281 is an apocalyptic number.

208081033281 is the 456159-th square number.

208081033281 is the 228080-th centered octagonal number.

It is an amenable number.

208081033281 is a deficient number, since it is larger than the sum of its proper divisors (137852201730).

208081033281 is an equidigital number, since it uses as much as digits as its factorization.

208081033281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 208081033281 by its sum of digits (36), we get a square (7490917198116 = 2736954²).

The spelling of 208081033281 in words is "two hundred eight billion, eighty-one million, thirty-three thousand, two hundred eighty-one".