725171041 has 9 divisors (see below), whose sum is σ = 843785649. Its totient is φ = 621413604.

The previous prime is 725171017. The next prime is 725171053. The reversal of 725171041 is 140171527.

The square root of 725171041 is 26929.

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

It is not a de Polignac number, because 725171041 - 2⁹ = 725170529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725171641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186580 + ... + 190426.

It is an arithmetic number, because the mean of its divisors is an integer number (93753961).

Almost surely, 2^725171041 is an apocalyptic number.

725171041 is the 26929-th square number.

725171041 is the 13465-th centered octagonal number.

It is an amenable number.

725171041 is a deficient number, since it is larger than the sum of its proper divisors (118614608).

725171041 is an frugal number, since it uses more digits than its factorization.

725171041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The cubic root of 725171041 is about 898.4215299176.

The spelling of 725171041 in words is "seven hundred twenty-five million, one hundred seventy-one thousand, forty-one".