725643346527 has 64 divisors (see below), whose sum is σ = 1215204249600. Its totient is φ = 423916295040.

The previous prime is 725643346517. The next prime is 725643346567.

725643346527 is a `hidden beast` number, since 7 + 2 + 564 + 33 + 46 + 5 + 2 + 7 = 666.

725643346527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725643346527 - 2⁸ = 725643346271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725643346507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5158693 + ... + 5297489.

It is an arithmetic number, because the mean of its divisors is an integer number (18987566400).

Almost surely, 2^725643346527 is an apocalyptic number.

725643346527 is a deficient number, since it is larger than the sum of its proper divisors (489560903073).

725643346527 is a wasteful number, since it uses less digits than its factorization.

725643346527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139453 (or 139447 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 725643346527 in words is "seven hundred twenty-five billion, six hundred forty-three million, three hundred forty-six thousand, five hundred twenty-seven".