205353030 has 64 divisors (see below), whose sum is σ = 524164608. Its totient is φ = 51310080.

The previous prime is 205353019. The next prime is 205353037. The reversal of 205353030 is 30353502.

It is a junction number, because it is equal to n+sod(n) for n = 205352988 and 205353006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205353037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133365 + ... + 134895.

It is an arithmetic number, because the mean of its divisors is an integer number (8190072).

Almost surely, 2^205353030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205353030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262082304).

205353030 is an abundant number, since it is smaller than the sum of its proper divisors (318811578).

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

205353030 is a wasteful number, since it uses less digits than its factorization.

205353030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 1350, while the sum is 21.

The square root of 205353030 is about 14330.1441025553. The cubic root of 205353030 is about 589.9751306189.

The spelling of 205353030 in words is "two hundred five million, three hundred fifty-three thousand, thirty".