205147612850625 has 135 divisors (see below), whose sum is σ = 372026487429597. Its totient is φ = 108900443520000.

The previous prime is 205147612850563. The next prime is 205147612850627. The reversal of 205147612850625 is 526058216741502.

The square root of 205147612850625 is 14322975.

It is a perfect power (a square), and thus also a powerful number.

205147612850625 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 4 + 7 + 6 + 1 + 2 + 8 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 161145988760241 + 44001624090384 = 12694329^2 + 6633372^2 .

It is not a de Polignac number, because 205147612850625 - 2⁹ = 205147612850113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205147612850627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 379200762855 + ... + 379200763395.

Almost surely, 2^{205147612850625} is an apocalyptic number.

205147612850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205147612850625 is the 14322975-th square number.

205147612850625 is the 7161488-th centered octagonal number.

It is an amenable number.

205147612850625 is a deficient number, since it is larger than the sum of its proper divisors (166878874578972).

205147612850625 is an frugal number, since it uses more digits than its factorization.

205147612850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 205147612850625 in words is "two hundred five trillion, one hundred forty-seven billion, six hundred twelve million, eight hundred fifty thousand, six hundred twenty-five".