725633261 has 2 divisors, whose sum is σ = 725633262. Its totient is φ = 725633260.

The previous prime is 725633239. The next prime is 725633263. The reversal of 725633261 is 162336527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524135236 + 201498025 = 22894^2 + 14195^2 .

It is an emirp because it is prime and its reverse (162336527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725633261 - 2¹⁴ = 725616877 is a prime.

Together with 725633263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725633263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362816630 + 362816631.

It is an arithmetic number, because the mean of its divisors is an integer number (362816631).

Almost surely, 2^725633261 is an apocalyptic number.

It is an amenable number.

725633261 is a deficient number, since it is larger than the sum of its proper divisors (1).

725633261 is an equidigital number, since it uses as much as digits as its factorization.

725633261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 35.

The square root of 725633261 is about 26937.5808305052. The cubic root of 725633261 is about 898.6123723430.

Adding to 725633261 its reverse (162336527), we get a palindrome (887969788).

The spelling of 725633261 in words is "seven hundred twenty-five million, six hundred thirty-three thousand, two hundred sixty-one".