872675457241 has 27 divisors (see below), whose sum is σ = 1025084219133. Its totient is φ = 740760236160.

The previous prime is 872675457221. The next prime is 872675457281. The reversal of 872675457241 is 142754576278.

It is a happy number.

The square root of 872675457241 is 934171.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21846318025 + 850829139216 = 147805^2 + 922404^2 .

It is not a de Polignac number, because 872675457241 - 2⁹ = 872675456729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (872675457221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 738928671 + ... + 738929851.

Almost surely, 2^872675457241 is an apocalyptic number.

872675457241 is the 934171-st square number.

872675457241 is the 467086-th centered octagonal number.

It is an amenable number.

872675457241 is a deficient number, since it is larger than the sum of its proper divisors (152408761892).

872675457241 is an frugal number, since it uses more digits than its factorization.

872675457241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 1301 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 58.

The spelling of 872675457241 in words is "eight hundred seventy-two billion, six hundred seventy-five million, four hundred fifty-seven thousand, two hundred forty-one".