205142553 has 72 divisors (see below), whose sum is σ = 394377984. Its totient is φ = 100235520.

The previous prime is 205142521. The next prime is 205142569. The reversal of 205142553 is 355241502.

It is a happy number.

205142553 is a `hidden beast` number, since 20 + 51 + 42 + 553 = 666.

It is not a de Polignac number, because 205142553 - 2⁵ = 205142521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205142513) 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 71 ways as a sum of consecutive naturals, for example, 128800 + ... + 130382.

It is an arithmetic number, because the mean of its divisors is an integer number (5477472).

Almost surely, 2^205142553 is an apocalyptic number.

It is an amenable number.

205142553 is a deficient number, since it is larger than the sum of its proper divisors (189235431).

205142553 is a wasteful number, since it uses less digits than its factorization.

205142553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 205142553 is about 14322.7983648448. The cubic root of 205142553 is about 589.7734963168.

The spelling of 205142553 in words is "two hundred five million, one hundred forty-two thousand, five hundred fifty-three".