725642262246527 has 8 divisors (see below), whose sum is σ = 727098489160800. Its totient is φ = 724186155347424.

The previous prime is 725642262246511. The next prime is 725642262246529.

725642262246527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725642262246527 - 2⁴ = 725642262246511 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725642262246527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725642262246529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17894252 + ... + 42089057.

It is an arithmetic number, because the mean of its divisors is an integer number (90887311145100).

Almost surely, 2^{725642262246527} is an apocalyptic number.

725642262246527 is a deficient number, since it is larger than the sum of its proper divisors (1456226914273).

725642262246527 is a wasteful number, since it uses less digits than its factorization.

725642262246527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60007585.

The product of its digits is 270950400, while the sum is 62.

The spelling of 725642262246527 in words is "seven hundred twenty-five trillion, six hundred forty-two billion, two hundred sixty-two million, two hundred forty-six thousand, five hundred twenty-seven".