160752081721 has 81 divisors (see below), whose sum is σ = 212349958191. Its totient is φ = 121243953600.

The previous prime is 160752081697. The next prime is 160752081731. The reversal of 160752081721 is 127180257061.

The square root of 160752081721 is 400939.

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

160752081721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7745936121 + 153006145600 = 88011^2 + 391160^2 .

It is not a de Polignac number, because 160752081721 - 2⁷ = 160752081593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (160752081731) 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 80 ways as a sum of consecutive naturals, for example, 1265764360 + ... + 1265764486.

Almost surely, 2^160752081721 is an apocalyptic number.

160752081721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

160752081721 is the 400939-th square number.

160752081721 is the 200470-th centered octagonal number.

It is an amenable number.

160752081721 is a deficient number, since it is larger than the sum of its proper divisors (51597876470).

160752081721 is an equidigital number, since it uses as much as digits as its factorization.

160752081721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 160752081721 in words is "one hundred sixty billion, seven hundred fifty-two million, eighty-one thousand, seven hundred twenty-one".