205300557 has 24 divisors (see below), whose sum is σ = 369720000. Its totient is φ = 106649280.

The previous prime is 205300523. The next prime is 205300577. The reversal of 205300557 is 755003502.

205300557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205300557 - 2⁶ = 205300493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205300557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205300577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147432 + ... + 148817.

It is an arithmetic number, because the mean of its divisors is an integer number (15405000).

Almost surely, 2^205300557 is an apocalyptic number.

It is an amenable number.

205300557 is a deficient number, since it is larger than the sum of its proper divisors (164419443).

205300557 is a wasteful number, since it uses less digits than its factorization.

205300557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296273 (or 296270 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 205300557 is about 14328.3131247192. The cubic root of 205300557 is about 589.9248750464.

The spelling of 205300557 in words is "two hundred five million, three hundred thousand, five hundred fifty-seven".