205311513105 has 64 divisors (see below), whose sum is σ = 367482435840. Its totient is φ = 108755136000.

The previous prime is 205311513053. The next prime is 205311513119. The reversal of 205311513105 is 501315113502.

205311513105 is a `hidden beast` number, since 2 + 0 + 531 + 15 + 13 + 105 = 666.

It is not a de Polignac number, because 205311513105 - 2⁶ = 205311513041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55472755 + ... + 55476455.

It is an arithmetic number, because the mean of its divisors is an integer number (5741913060).

Almost surely, 2^205311513105 is an apocalyptic number.

It is an amenable number.

205311513105 is a deficient number, since it is larger than the sum of its proper divisors (162170922735).

205311513105 is a wasteful number, since it uses less digits than its factorization.

205311513105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 205311513105 its reverse (501315113502), we get a palindrome (706626626607).

The spelling of 205311513105 in words is "two hundred five billion, three hundred eleven million, five hundred thirteen thousand, one hundred five".