205168425 has 48 divisors (see below), whose sum is σ = 422925312. Its totient is φ = 85262400.

The previous prime is 205168421. The next prime is 205168433. The reversal of 205168425 is 524861502.

It is not a de Polignac number, because 205168425 - 2² = 205168421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (205168421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11989 + ... + 23538.

It is an arithmetic number, because the mean of its divisors is an integer number (8810944).

Almost surely, 2^205168425 is an apocalyptic number.

205168425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205168425 is an abundant number, since it is smaller than the sum of its proper divisors (217756887).

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

205168425 is a wasteful number, since it uses less digits than its factorization.

205168425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35558 (or 35553 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 205168425 is about 14323.7015118300. The cubic root of 205168425 is about 589.7982887978.

The spelling of 205168425 in words is "two hundred five million, one hundred sixty-eight thousand, four hundred twenty-five".