723971248225 has 27 divisors (see below), whose sum is σ = 904019294227. Its totient is φ = 575143898480.

The previous prime is 723971248201. The next prime is 723971248237. The reversal of 723971248225 is 522842179327.

It is a happy number.

The square root of 723971248225 is 850865.

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., 260629649361 + 463341598864 = 510519^2 + 680692^2 .

It is not a de Polignac number, because 723971248225 - 2¹⁷ = 723971117153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 710471766 + ... + 710472784.

Almost surely, 2^723971248225 is an apocalyptic number.

723971248225 is the 850865-th square number.

723971248225 is the 425433-rd centered octagonal number.

It is an amenable number.

723971248225 is a deficient number, since it is larger than the sum of its proper divisors (180048046002).

723971248225 is an frugal number, since it uses more digits than its factorization.

723971248225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 1191 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

It can be divided in two parts, 723971 and 248225, that added together give a square (972196 = 986²).

The spelling of 723971248225 in words is "seven hundred twenty-three billion, nine hundred seventy-one million, two hundred forty-eight thousand, two hundred twenty-five".