725697686796527 has 8 divisors (see below), whose sum is σ = 737733303341280. Its totient is φ = 713666551966560.

The previous prime is 725697686796461. The next prime is 725697686796541.

725697686796527 is nontrivially palindromic in base 10.

725697686796527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 725697686796527 - 2⁴⁸ = 444222710085871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725697686796227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120102163 + ... + 1120749860.

It is an arithmetic number, because the mean of its divisors is an integer number (92216662917660).

Almost surely, 2^{725697686796527} is an apocalyptic number.

725697686796527 is a deficient number, since it is larger than the sum of its proper divisors (12035616544753).

725697686796527 is a wasteful number, since it uses less digits than its factorization.

725697686796527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240857393.

The product of its digits is 201637900800, while the sum is 92.

The spelling of 725697686796527 in words is "seven hundred twenty-five trillion, six hundred ninety-seven billion, six hundred eighty-six million, seven hundred ninety-six thousand, five hundred twenty-seven".