205612512 has 48 divisors (see below), whose sum is σ = 616839552. Its totient is φ = 58746240.

The previous prime is 205612507. The next prime is 205612513. The reversal of 205612512 is 215216502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205612513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 152314 + ... + 153657.

It is an arithmetic number, because the mean of its divisors is an integer number (12850824).

Almost surely, 2^205612512 is an apocalyptic number.

It is an amenable number.

205612512 is an abundant number, since it is smaller than the sum of its proper divisors (411227040).

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

205612512 is a wasteful number, since it uses less digits than its factorization.

205612512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305991 (or 305983 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 205612512 is about 14339.1949564820. The cubic root of 205612512 is about 590.2235215516.

The spelling of 205612512 in words is "two hundred five million, six hundred twelve thousand, five hundred twelve".