205413213110235 has 64 divisors (see below), whose sum is σ = 374775777936000. Its totient is φ = 95174624010240.

The previous prime is 205413213110221. The next prime is 205413213110257. The reversal of 205413213110235 is 532011312314502.

It is a happy number.

It is not a de Polignac number, because 205413213110235 - 2¹³ = 205413213102043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205413213110196 and 205413213110205.

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, 97013641 + ... + 99108389.

It is an arithmetic number, because the mean of its divisors is an integer number (5855871530250).

Almost surely, 2^{205413213110235} is an apocalyptic number.

205413213110235 is a deficient number, since it is larger than the sum of its proper divisors (169362564825765).

205413213110235 is a wasteful number, since it uses less digits than its factorization.

205413213110235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124368.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 205413213110235 its reverse (532011312314502), we get a palindrome (737424525424737).

The spelling of 205413213110235 in words is "two hundred five trillion, four hundred thirteen billion, two hundred thirteen million, one hundred ten thousand, two hundred thirty-five".