205125106249 has 16 divisors (see below), whose sum is σ = 237789288576. Its totient is φ = 173315520000.

The previous prime is 205125106231. The next prime is 205125106273. The reversal of 205125106249 is 942601521502.

205125106249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205125106249 - 2²¹ = 205123009097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205125106289) 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 15 ways as a sum of consecutive naturals, for example, 431362 + ... + 772219.

It is an arithmetic number, because the mean of its divisors is an integer number (14861830536).

Almost surely, 2^205125106249 is an apocalyptic number.

It is an amenable number.

205125106249 is a deficient number, since it is larger than the sum of its proper divisors (32664182327).

205125106249 is a wasteful number, since it uses less digits than its factorization.

205125106249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203936.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 205125106249 in words is "two hundred five billion, one hundred twenty-five million, one hundred six thousand, two hundred forty-nine".