205013376 has 128 divisors (see below), whose sum is σ = 610898400. Its totient is φ = 67682304.

The previous prime is 205013359. The next prime is 205013491. The reversal of 205013376 is 673310502.

It is a happy number.

205013376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473256 + ... + 473688.

Almost surely, 2^205013376 is an apocalyptic number.

205013376 is the 11691-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305449200).

205013376 is an abundant number, since it is smaller than the sum of its proper divisors (405885024).

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

205013376 is a wasteful number, since it uses less digits than its factorization.

205013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 205013376 is about 14318.2881658388. The cubic root of 205013376 is about 589.6496780800.

Adding to 205013376 its reverse (673310502), we get a palindrome (878323878).

The spelling of 205013376 in words is "two hundred five million, thirteen thousand, three hundred seventy-six".