205948054225 has 81 divisors (see below), whose sum is σ = 287333295411. Its totient is φ = 146382566400.

The previous prime is 205948054211. The next prime is 205948054229. The reversal of 205948054225 is 522450849502.

The square root of 205948054225 is 453815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 39324079809 + 166623974416 = 198303^2 + 408196^2 .

It is not a de Polignac number, because 205948054225 - 2³¹ = 203800570577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205948054229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 732911085 + ... + 732911365.

Almost surely, 2^205948054225 is an apocalyptic number.

205948054225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205948054225 is the 453815-th square number.

205948054225 is the 226908-th centered octagonal number.

It is an amenable number.

205948054225 is a deficient number, since it is larger than the sum of its proper divisors (81385241186).

205948054225 is an equidigital number, since it uses as much as digits as its factorization.

205948054225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 205948054225 in words is "two hundred five billion, nine hundred forty-eight million, fifty-four thousand, two hundred twenty-five".