205684236225 has 96 divisors (see below), whose sum is σ = 413586723200. Its totient is φ = 99599673600.

The previous prime is 205684236209. The next prime is 205684236271. The reversal of 205684236225 is 522632486502.

205684236225 is a `hidden beast` number, since 2 + 0 + 568 + 4 + 2 + 3 + 62 + 25 = 666.

It is not a de Polignac number, because 205684236225 - 2⁴ = 205684236209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343146 + ... + 727404.

Almost surely, 2^205684236225 is an apocalyptic number.

205684236225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205684236225 is an abundant number, since it is smaller than the sum of its proper divisors (207902486975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205684236225 is a wasteful number, since it uses less digits than its factorization.

205684236225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384352 (or 384341 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 205684236225 in words is "two hundred five billion, six hundred eighty-four million, two hundred thirty-six thousand, two hundred twenty-five".