132817242481 has 27 divisors (see below), whose sum is σ = 169860060363. Its totient is φ = 103472088720.

The previous prime is 132817242457. The next prime is 132817242497. The reversal of 132817242481 is 184242718231.

The square root of 132817242481 is 364441.

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., 23597568225 + 109219674256 = 153615^2 + 330484^2 .

It is not a de Polignac number, because 132817242481 - 2²¹ = 132815145329 is a prime.

It is a super-2 number, since 2×132817242481² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132817252481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28059591 + ... + 28064323.

Almost surely, 2^132817242481 is an apocalyptic number.

132817242481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132817242481 is the 364441-st square number.

132817242481 is the 182221-st centered octagonal number.

It is an amenable number.

132817242481 is a deficient number, since it is larger than the sum of its proper divisors (37042817882).

132817242481 is an frugal number, since it uses more digits than its factorization.

132817242481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 4751 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The spelling of 132817242481 in words is "one hundred thirty-two billion, eight hundred seventeen million, two hundred forty-two thousand, four hundred eighty-one".