205013024320 has 112 divisors (see below), whose sum is σ = 527233255920. Its totient is φ = 75482136576.

The previous prime is 205013024317. The next prime is 205013024323. The reversal of 205013024320 is 23420310502.

It is an interprime number because it is at equal distance from previous prime (205013024317) and next prime (205013024323).

It can be written as a sum of positive squares in 8 ways, for example, as 43138624 + 204969885696 = 6568^2 + 452736^2 .

It is a super-2 number, since 2×205013024320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205013024291 and 205013024300.

It is not an unprimeable number, because it can be changed into a prime (205013024323) 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 15 ways as a sum of consecutive naturals, for example, 1398676 + ... + 1538284.

It is an arithmetic number, because the mean of its divisors is an integer number (4707439785).

Almost surely, 2^205013024320 is an apocalyptic number.

205013024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205013024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263616627960).

205013024320 is an abundant number, since it is smaller than the sum of its proper divisors (322220231600).

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

205013024320 is a wasteful number, since it uses less digits than its factorization.

205013024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139992 (or 139982 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 205013024320 its reverse (23420310502), we get a palindrome (228433334822).

The spelling of 205013024320 in words is "two hundred five billion, thirteen million, twenty-four thousand, three hundred twenty".