205242625 has 32 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 140708400.

The previous prime is 205242623. The next prime is 205242629. The reversal of 205242625 is 526242502.

It is not a de Polignac number, because 205242625 - 2¹ = 205242623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205242593 and 205242602.

It is not an unprimeable number, because it can be changed into a prime (205242623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40482 + ... + 45268.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^205242625 is an apocalyptic number.

205242625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205242625 is a deficient number, since it is larger than the sum of its proper divisors (93528575).

205242625 is an frugal number, since it uses more digits than its factorization.

205242625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 205242625 is about 14326.2913903075. The cubic root of 205242625 is about 589.8693812159.

The spelling of 205242625 in words is "two hundred five million, two hundred forty-two thousand, six hundred twenty-five".