205452010530 has 288 divisors, whose sum is σ = 605857988736. Its totient is φ = 48191210496.

The previous prime is 205452010487. The next prime is 205452010583. The reversal of 205452010530 is 35010254502.

It is a happy number.

205452010530 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 520 + 105 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205452010494 and 205452010503.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107396854 + ... + 107398766.

It is an arithmetic number, because the mean of its divisors is an integer number (2103673572).

Almost surely, 2^205452010530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205452010530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302928994368).

205452010530 is an abundant number, since it is smaller than the sum of its proper divisors (400405978206).

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

205452010530 is a wasteful number, since it uses less digits than its factorization.

205452010530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 205452010530 in words is "two hundred five billion, four hundred fifty-two million, ten thousand, five hundred thirty".