205185217052 has 48 divisors (see below), whose sum is σ = 370719888000. Its totient is φ = 99314214912.

The previous prime is 205185217007. The next prime is 205185217079. The reversal of 205185217052 is 250712581502.

It is a super-3 number, since 3×205185217052³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205185216997 and 205185217015.

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, 50128718 + ... + 50132810.

It is an arithmetic number, because the mean of its divisors is an integer number (7723331000).

Almost surely, 2^205185217052 is an apocalyptic number.

It is an amenable number.

205185217052 is a deficient number, since it is larger than the sum of its proper divisors (165534670948).

205185217052 is a wasteful number, since it uses less digits than its factorization.

205185217052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

Adding to 205185217052 its reverse (250712581502), we get a palindrome (455897798554).

The spelling of 205185217052 in words is "two hundred five billion, one hundred eighty-five million, two hundred seventeen thousand, fifty-two".