205513551152 has 320 divisors, whose sum is σ = 518233497600. Its totient is φ = 76779601920.

The previous prime is 205513551151. The next prime is 205513551161. The reversal of 205513551152 is 251155315502.

205513551152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205513551151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609832328 + ... + 609832664.

It is an arithmetic number, because the mean of its divisors is an integer number (1619479680).

Almost surely, 2^205513551152 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 205513551152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259116748800).

205513551152 is an abundant number, since it is smaller than the sum of its proper divisors (312719946448).

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

205513551152 is a wasteful number, since it uses less digits than its factorization.

205513551152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 35.

Adding to 205513551152 its reverse (251155315502), we get a palindrome (456668866654).

The spelling of 205513551152 in words is "two hundred five billion, five hundred thirteen million, five hundred fifty-one thousand, one hundred fifty-two".