816527297161 has 27 divisors (see below), whose sum is σ = 855008697357. Its totient is φ = 779750907480.

The previous prime is 816527297137. The next prime is 816527297191. The reversal of 816527297161 is 161792725618.

The square root of 816527297161 is 903619.

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

816527297161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 816527297161 - 2⁵ = 816527297129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816527297191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2885255326 + ... + 2885255608.

It is an arithmetic number, because the mean of its divisors is an integer number (31666988791).

Almost surely, 2^816527297161 is an apocalyptic number.

816527297161 is the 903619-th square number.

816527297161 is the 451810-th centered octagonal number.

It is an amenable number.

816527297161 is a deficient number, since it is larger than the sum of its proper divisors (38481400196).

816527297161 is an frugal number, since it uses more digits than its factorization.

816527297161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 55.

The spelling of 816527297161 in words is "eight hundred sixteen billion, five hundred twenty-seven million, two hundred ninety-seven thousand, one hundred sixty-one".