205487850825 has 36 divisors (see below), whose sum is σ = 368080161228. Its totient is φ = 109585008000.

The previous prime is 205487850823. The next prime is 205487850889. The reversal of 205487850825 is 528058784502.

205487850825 is a `hidden beast` number, since 2 + 0 + 5 + 48 + 78 + 508 + 25 = 666.

205487850825 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 6 ways, for example, as 51394703616 + 154093147209 = 226704^2 + 392547^2 .

It is not a de Polignac number, because 205487850825 - 2¹ = 205487850823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205487850823) 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 35 ways as a sum of consecutive naturals, for example, 3775707 + ... + 3829743.

It is an arithmetic number, because the mean of its divisors is an integer number (10224448923).

Almost surely, 2^205487850825 is an apocalyptic number.

205487850825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205487850825 is a deficient number, since it is larger than the sum of its proper divisors (162592310403).

205487850825 is a wasteful number, since it uses less digits than its factorization.

205487850825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70954 (or 70946 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 205487850825 in words is "two hundred five billion, four hundred eighty-seven million, eight hundred fifty thousand, eight hundred twenty-five".