205525233431441 has 16 divisors (see below), whose sum is σ = 261468624566400. Its totient is φ = 160149532541040.

The previous prime is 205525233431359. The next prime is 205525233431471. The reversal of 205525233431441 is 144134332525502.

It is not a de Polignac number, because 205525233431441 - 2¹⁰ = 205525233430417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205525233431392 and 205525233431401.

It is not an unprimeable number, because it can be changed into a prime (205525233431471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27236311286 + ... + 27236318831.

It is an arithmetic number, because the mean of its divisors is an integer number (16341789035400).

Almost surely, 2^{205525233431441} is an apocalyptic number.

It is an amenable number.

205525233431441 is a deficient number, since it is larger than the sum of its proper divisors (55943391134959).

205525233431441 is an equidigital number, since it uses as much as digits as its factorization.

205525233431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54472630149 (or 54472630135 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

Adding to 205525233431441 its reverse (144134332525502), we get a palindrome (349659565956943).

The spelling of 205525233431441 in words is "two hundred five trillion, five hundred twenty-five billion, two hundred thirty-three million, four hundred thirty-one thousand, four hundred forty-one".