208161608625 has 48 divisors (see below), whose sum is σ = 375906632400. Its totient is φ = 110824070400.

The previous prime is 208161608621. The next prime is 208161608671. The reversal of 208161608625 is 526806161802.

208161608625 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 6 + 16 + 0 + 8 + 625 = 666.

208161608625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35598632976 + 172562975649 = 188676^2 + 415407^2 .

It is not a de Polignac number, because 208161608625 - 2² = 208161608621 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (208161608621) by changing a digit.

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, 477531 + ... + 802719.

It is an arithmetic number, because the mean of its divisors is an integer number (7831388175).

Almost surely, 2^208161608625 is an apocalyptic number.

208161608625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208161608625 is a deficient number, since it is larger than the sum of its proper divisors (167745023775).

208161608625 is a wasteful number, since it uses less digits than its factorization.

208161608625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325779 (or 325766 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 208161608625 in words is "two hundred eight billion, one hundred sixty-one million, six hundred eight thousand, six hundred twenty-five".