752065325089 has 27 divisors (see below), whose sum is σ = 859728724659. Its totient is φ = 657489240720.

The previous prime is 752065325041. The next prime is 752065325093. The reversal of 752065325089 is 980523560257.

The square root of 752065325089 is 867217.

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., 111252267025 + 640813058064 = 333545^2 + 800508^2 .

It is not a de Polignac number, because 752065325089 - 2⁷ = 752065324961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752065328089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214200844 + ... + 214204354.

It is an arithmetic number, because the mean of its divisors is an integer number (31841804617).

Almost surely, 2^752065325089 is an apocalyptic number.

752065325089 is the 867217-th square number.

752065325089 is the 433609-th centered octagonal number.

It is an amenable number.

752065325089 is a deficient number, since it is larger than the sum of its proper divisors (107663399570).

752065325089 is an frugal number, since it uses more digits than its factorization.

752065325089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 752065325089 in words is "seven hundred fifty-two billion, sixty-five million, three hundred twenty-five thousand, eighty-nine".