205530233004500 has 48 divisors (see below), whose sum is σ = 449048513349072. Its totient is φ = 82180868940800.

The previous prime is 205530233004419. The next prime is 205530233004511. The reversal of 205530233004500 is 5400332035502.

It can be written as a sum of positive squares in 8 ways, for example, as 101790059879236 + 103740173125264 = 10089106^2 + 10185292^2 .

It is a super-2 number, since 2×205530233004500² (a number of 29 digits) contains 22 as substring.

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, 76742837 + ... + 79375836.

It is an arithmetic number, because the mean of its divisors is an integer number (9355177361439).

Almost surely, 2^{205530233004500} is an apocalyptic number.

205530233004500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205530233004500 is an abundant number, since it is smaller than the sum of its proper divisors (243518280344572).

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

205530233004500 is a wasteful number, since it uses less digits than its factorization.

205530233004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156121325 (or 156121313 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The spelling of 205530233004500 in words is "two hundred five trillion, five hundred thirty billion, two hundred thirty-three million, four thousand, five hundred".