205345828801 has 9 divisors (see below), whose sum is σ = 206783645859. Its totient is φ = 203917950000.

The previous prime is 205345828733. The next prime is 205345828811. The reversal of 205345828801 is 108828543502.

The square root of 205345828801 is 453151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 110457187201 + 94888641600 = 332351^2 + 308040^2 .

It is not a de Polignac number, because 205345828801 - 2²⁵ = 205312274369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205345828811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68424301 + ... + 68427301.

It is an arithmetic number, because the mean of its divisors is an integer number (22975960651).

Almost surely, 2^205345828801 is an apocalyptic number.

205345828801 is the 453151-st square number.

205345828801 is the 226576-th centered octagonal number.

It is an amenable number.

205345828801 is a deficient number, since it is larger than the sum of its proper divisors (1437817058).

205345828801 is an frugal number, since it uses more digits than its factorization.

205345828801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The spelling of 205345828801 in words is "two hundred five billion, three hundred forty-five million, eight hundred twenty-eight thousand, eight hundred one".