725558653 has 2 divisors, whose sum is σ = 725558654. Its totient is φ = 725558652.

The previous prime is 725558563. The next prime is 725558663. The reversal of 725558653 is 356855527.

It is a happy number.

Together with previous prime (725558563) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433763929 + 291794724 = 20827^2 + 17082^2 .

It is a cyclic number.

It is not a de Polignac number, because 725558653 - 2²⁵ = 692004221 is a prime.

It is a super-3 number, since 3×725558653³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725558663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362779326 + 362779327.

It is an arithmetic number, because the mean of its divisors is an integer number (362779327).

Almost surely, 2^725558653 is an apocalyptic number.

It is an amenable number.

725558653 is a deficient number, since it is larger than the sum of its proper divisors (1).

725558653 is an equidigital number, since it uses as much as digits as its factorization.

725558653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260000, while the sum is 46.

The square root of 725558653 is about 26936.1959637956. The cubic root of 725558653 is about 898.5815735114.

The spelling of 725558653 in words is "seven hundred twenty-five million, five hundred fifty-eight thousand, six hundred fifty-three".