116527332321 has 63 divisors (see below), whose sum is σ = 179173486531. Its totient is φ = 75749371344.

The previous prime is 116527332301. The next prime is 116527332347. The reversal of 116527332321 is 123233725611.

The square root of 116527332321 is 341361.

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

116527332321 is a `hidden beast` number, since 1 + 1 + 65 + 273 + 3 + 2 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7666928721 + 108860403600 = 87561^2 + 329940^2 .

It is not a de Polignac number, because 116527332321 - 2¹¹ = 116527330273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116527332301) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 433186975 + ... + 433187243.

Almost surely, 2^116527332321 is an apocalyptic number.

116527332321 is the 341361-st square number.

116527332321 is the 170681-st centered octagonal number.

It is an amenable number.

116527332321 is a deficient number, since it is larger than the sum of its proper divisors (62646154210).

116527332321 is an frugal number, since it uses more digits than its factorization.

116527332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 319 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Multiplying 116527332321 by its sum of digits (36), we get a square (4194983963556 = 2048166²).

The spelling of 116527332321 in words is "one hundred sixteen billion, five hundred twenty-seven million, three hundred thirty-two thousand, three hundred twenty-one".