725247581 has 2 divisors, whose sum is σ = 725247582. Its totient is φ = 725247580.

The previous prime is 725247559. The next prime is 725247583. The reversal of 725247581 is 185742527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658743556 + 66504025 = 25666^2 + 8155^2 .

It is a cyclic number.

It is not a de Polignac number, because 725247581 - 2²⁶ = 658138717 is a prime.

It is a super-2 number, since 2×725247581² = 1051968107492703122, which contains 22 as substring.

Together with 725247583, 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 (725247583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362623790 + 362623791.

It is an arithmetic number, because the mean of its divisors is an integer number (362623791).

Almost surely, 2^725247581 is an apocalyptic number.

It is an amenable number.

725247581 is a deficient number, since it is larger than the sum of its proper divisors (1).

725247581 is an equidigital number, since it uses as much as digits as its factorization.

725247581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 156800, while the sum is 41.

The square root of 725247581 is about 26930.4211069935. The cubic root of 725247581 is about 898.4531375250.

The spelling of 725247581 in words is "seven hundred twenty-five million, two hundred forty-seven thousand, five hundred eighty-one".