205353042 has 8 divisors (see below), whose sum is σ = 410706096. Its totient is φ = 68451012.

The previous prime is 205353041. The next prime is 205353067. The reversal of 205353042 is 240353502.

It is a sphenic number, since it is the product of 3 distinct primes.

205353042 is an admirable number.

It is a super-3 number, since 3×205353042³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (205353041) 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 3 ways as a sum of consecutive naturals, for example, 17112748 + ... + 17112759.

It is an arithmetic number, because the mean of its divisors is an integer number (51338262).

Almost surely, 2^205353042 is an apocalyptic number.

205353042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

205353042 is a wasteful number, since it uses less digits than its factorization.

205353042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34225512.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 205353042 is about 14330.1445212531. The cubic root of 205353042 is about 589.9751421108.

The spelling of 205353042 in words is "two hundred five million, three hundred fifty-three thousand, forty-two".