205200524997 has 18 divisors (see below), whose sum is σ = 319208438822. Its totient is φ = 126274230864.

The previous prime is 205200524981. The next prime is 205200525071. The reversal of 205200524997 is 799425002502.

It can be written as a sum of positive squares in only one way, i.e., 142061901921 + 63138623076 = 376911^2 + 251274^2 .

It is not a de Polignac number, because 205200524997 - 2⁴ = 205200524981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205200524927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4878904 + ... + 4920782.

Almost surely, 2^205200524997 is an apocalyptic number.

It is an amenable number.

205200524997 is a deficient number, since it is larger than the sum of its proper divisors (114007913825).

205200524997 is an frugal number, since it uses more digits than its factorization.

205200524997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83777 (or 41895 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 205200524997 in words is "two hundred five billion, two hundred million, five hundred twenty-four thousand, nine hundred ninety-seven".