276161811121 has 27 divisors (see below), whose sum is σ = 330329335329. Its totient is φ = 230199042528.

The previous prime is 276161811061. The next prime is 276161811161. The reversal of 276161811121 is 121118161672.

The square root of 276161811121 is 525511.

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

It can be written as a sum of positive squares in 4 ways, for example, as 230424000625 + 45737810496 = 480025^2 + 213864^2 .

It is not a de Polignac number, because 276161811121 - 2⁹ = 276161810609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (276161811161) 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, 136106335 + ... + 136108363.

It is an arithmetic number, because the mean of its divisors is an integer number (12234419827).

Almost surely, 2^276161811121 is an apocalyptic number.

276161811121 is the 525511-st square number.

276161811121 is the 262756-th centered octagonal number.

It is an amenable number.

276161811121 is a deficient number, since it is larger than the sum of its proper divisors (54167524208).

276161811121 is an frugal number, since it uses more digits than its factorization.

276161811121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 2073 counting only the distinct ones).

The product of its digits is 8064, while the sum is 37.

Adding to 276161811121 its reverse (121118161672), we get a palindrome (397279972793).

The spelling of 276161811121 in words is "two hundred seventy-six billion, one hundred sixty-one million, eight hundred eleven thousand, one hundred twenty-one".