205053121 has 32 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 158483520.

The previous prime is 205053103. The next prime is 205053137. The reversal of 205053121 is 121350502.

205053121 = 131² + 132² + ... + 851².

It is not a de Polignac number, because 205053121 - 2⁹ = 205052609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205053161) 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 31 ways as a sum of consecutive naturals, for example, 1227780 + ... + 1227946.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2^205053121 is an apocalyptic number.

It is an amenable number.

205053121 is a deficient number, since it is larger than the sum of its proper divisors (53252927).

205053121 is a wasteful number, since it uses less digits than its factorization.

205053121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 205053121 is about 14319.6760089047. The cubic root of 205053121 is about 589.6877798413.

The spelling of 205053121 in words is "two hundred five million, fifty-three thousand, one hundred twenty-one".