725185610505 has 32 divisors (see below), whose sum is σ = 1289266502400. Its totient is φ = 386751367296.

The previous prime is 725185610497. The next prime is 725185610531. The reversal of 725185610505 is 505016581527.

725185610505 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 85 + 61 + 0 + 505 = 666.

It is not a de Polignac number, because 725185610505 - 2³ = 725185610497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4281061 + ... + 4447229.

It is an arithmetic number, because the mean of its divisors is an integer number (40289578200).

Almost surely, 2^725185610505 is an apocalyptic number.

It is an amenable number.

725185610505 is a deficient number, since it is larger than the sum of its proper divisors (564080891895).

725185610505 is a wasteful number, since it uses less digits than its factorization.

725185610505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198510 (or 198504 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 725185610505 in words is "seven hundred twenty-five billion, one hundred eighty-five million, six hundred ten thousand, five hundred five".