725257541 has 2 divisors, whose sum is σ = 725257542. Its totient is φ = 725257540.

The previous prime is 725257537. The next prime is 725257543. The reversal of 725257541 is 145752527.

725257541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 560032225 + 165225316 = 23665^2 + 12854^2 .

It is an emirp because it is prime and its reverse (145752527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725257541 - 2² = 725257537 is a prime.

Together with 725257543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 725257495 and 725257504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725257543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362628770 + 362628771.

It is an arithmetic number, because the mean of its divisors is an integer number (362628771).

Almost surely, 2^725257541 is an apocalyptic number.

It is an amenable number.

725257541 is a deficient number, since it is larger than the sum of its proper divisors (1).

725257541 is an equidigital number, since it uses as much as digits as its factorization.

725257541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98000, while the sum is 38.

The square root of 725257541 is about 26930.6060273437. The cubic root of 725257541 is about 898.4572503974.

The spelling of 725257541 in words is "seven hundred twenty-five million, two hundred fifty-seven thousand, five hundred forty-one".