7723591348225 has 9 divisors (see below), whose sum is σ = 9577270502467. Its totient is φ = 6178861962040.

The previous prime is 7723591348223. The next prime is 7723591348243. The reversal of 7723591348225 is 5228431953277.

The square root of 7723591348225 is 2779135.

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., 2780492885361 + 4943098462864 = 1667481^2 + 2223308^2 .

It is not a de Polignac number, because 7723591348225 - 2¹ = 7723591348223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7723591348225.

It is not an unprimeable number, because it can be changed into a prime (7723591348223) 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 8 ways as a sum of consecutive naturals, for example, 13617762 + ... + 14173588.

Almost surely, 2^{7723591348225} is an apocalyptic number.

7723591348225 is the 2779135-th square number.

7723591348225 is the 1389568-th centered octagonal number.

It is an amenable number.

7723591348225 is a deficient number, since it is larger than the sum of its proper divisors (1853679154242).

7723591348225 is an frugal number, since it uses more digits than its factorization.

7723591348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111664 (or 555832 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 7723591348225 in words is "seven trillion, seven hundred twenty-three billion, five hundred ninety-one million, three hundred forty-eight thousand, two hundred twenty-five".