205056512 has 80 divisors (see below), whose sum is σ = 437516640. Its totient is φ = 95735808.

The previous prime is 205056497. The next prime is 205056557. The reversal of 205056512 is 215650502.

It is a super-2 number, since 2×205056512² = 84096346227212288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040798 + ... + 1040994.

It is an arithmetic number, because the mean of its divisors is an integer number (5468958).

Almost surely, 2^205056512 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 205056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218758320).

205056512 is an abundant number, since it is smaller than the sum of its proper divisors (232460128).

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

205056512 is a wasteful number, since it uses less digits than its factorization.

205056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 205056512 is about 14319.7944119320. The cubic root of 205056512 is about 589.6910304140.

The spelling of 205056512 in words is "two hundred five million, fifty-six thousand, five hundred twelve".