205261035630 has 128 divisors (see below), whose sum is σ = 583037485056. Its totient is φ = 45256924800.

The previous prime is 205261035611. The next prime is 205261035659. The reversal of 205261035630 is 36530162502.

It is a junction number, because it is equal to n+sod(n) for n = 205261035591 and 205261035600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1973919 + ... + 2075301.

It is an arithmetic number, because the mean of its divisors is an integer number (4554980352).

Almost surely, 2^205261035630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205261035630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291518742528).

205261035630 is an abundant number, since it is smaller than the sum of its proper divisors (377776449426).

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

205261035630 is a wasteful number, since it uses less digits than its factorization.

205261035630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101742.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 205261035630 in words is "two hundred five billion, two hundred sixty-one million, thirty-five thousand, six hundred thirty".