205312512 has 80 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 68063232.

The previous prime is 205312493. The next prime is 205312517. The reversal of 205312512 is 215213502.

It is not an unprimeable number, because it can be changed into a prime (205312517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535873 + ... + 536255.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^205312512 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 205312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

205312512 is an abundant number, since it is smaller than the sum of its proper divisors (344652288).

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

205312512 is an equidigital number, since it uses as much as digits as its factorization.

205312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 205312512 is about 14328.7302996462. The cubic root of 205312512 is about 589.9363255998.

The spelling of 205312512 in words is "two hundred five million, three hundred twelve thousand, five hundred twelve".