205300512 has 144 divisors (see below), whose sum is σ = 617984640. Its totient is φ = 64544256.

The previous prime is 205300499. The next prime is 205300523. The reversal of 205300512 is 215003502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392283 + ... + 392805.

It is an arithmetic number, because the mean of its divisors is an integer number (4291560).

Almost surely, 2^205300512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205300512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308992320).

205300512 is an abundant number, since it is smaller than the sum of its proper divisors (412684128).

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

205300512 is a wasteful number, since it uses less digits than its factorization.

205300512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205300512 is about 14328.3115544017. The cubic root of 205300512 is about 589.9248319444.

The spelling of 205300512 in words is "two hundred five million, three hundred thousand, five hundred twelve".