205401253232 has 80 divisors (see below), whose sum is σ = 463644699840. Its totient is φ = 86322302976.

The previous prime is 205401253201. The next prime is 205401253243. The reversal of 205401253232 is 232352104502.

It is a junction number, because it is equal to n+sod(n) for n = 205401253195 and 205401253204.

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, 12629618 + ... + 12645870.

It is an arithmetic number, because the mean of its divisors is an integer number (5795558748).

Almost surely, 2^205401253232 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 205401253232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231822349920).

205401253232 is an abundant number, since it is smaller than the sum of its proper divisors (258243446608).

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

205401253232 is a wasteful number, since it uses less digits than its factorization.

205401253232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 18444 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 205401253232 its reverse (232352104502), we get a palindrome (437753357734).

The spelling of 205401253232 in words is "two hundred five billion, four hundred one million, two hundred fifty-three thousand, two hundred thirty-two".