205375625 has 80 divisors (see below), whose sum is σ = 331693824. Its totient is φ = 123552000.

The previous prime is 205375619. The next prime is 205375627. The reversal of 205375625 is 526573502.

It is not a de Polignac number, because 205375625 - 2⁴ = 205375609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (205375627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1308047 + ... + 1308203.

Almost surely, 2^205375625 is an apocalyptic number.

205375625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205375625 is a deficient number, since it is larger than the sum of its proper divisors (126318199).

205375625 is a wasteful number, since it uses less digits than its factorization.

205375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 205375625 is about 14330.9324539613. The cubic root of 205375625 is about 589.9967681524.

It can be divided in two parts, 20537 and 5625, that added together give a palindrome (26162).

The spelling of 205375625 in words is "two hundred five million, three hundred seventy-five thousand, six hundred twenty-five".