432617416525 has 48 divisors (see below), whose sum is σ = 649286478720. Its totient is φ = 279140659200.

The previous prime is 432617416513. The next prime is 432617416541. The reversal of 432617416525 is 525614716234.

It is not a de Polignac number, because 432617416525 - 2¹⁷ = 432617285453 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 16411806 + ... + 16438144.

It is an arithmetic number, because the mean of its divisors is an integer number (13526801640).

Almost surely, 2^432617416525 is an apocalyptic number.

It is an amenable number.

432617416525 is a deficient number, since it is larger than the sum of its proper divisors (216669062195).

432617416525 is a wasteful number, since it uses less digits than its factorization.

432617416525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31894 (or 31889 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 432617416525 in words is "four hundred thirty-two billion, six hundred seventeen million, four hundred sixteen thousand, five hundred twenty-five".