208625587697 has 2 divisors, whose sum is σ = 208625587698. Its totient is φ = 208625587696.

The previous prime is 208625587673. The next prime is 208625587717. The reversal of 208625587697 is 796785526802.

208625587697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176636118961 + 31989468736 = 420281^2 + 178856^2 .

It is a cyclic number.

It is not a de Polignac number, because 208625587697 - 2²⁴ = 208608810481 is a prime.

It is not a weakly prime, because it can be changed into another prime (208625587657) 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 as a sum of consecutive naturals, namely, 104312793848 + 104312793849.

It is an arithmetic number, because the mean of its divisors is an integer number (104312793849).

Almost surely, 2^208625587697 is an apocalyptic number.

It is an amenable number.

208625587697 is a deficient number, since it is larger than the sum of its proper divisors (1).

208625587697 is an equidigital number, since it uses as much as digits as its factorization.

208625587697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 101606400, while the sum is 65.

The spelling of 208625587697 in words is "two hundred eight billion, six hundred twenty-five million, five hundred eighty-seven thousand, six hundred ninety-seven".