385259051352289 has 3 divisors (see below), whose sum is σ = 385259070980307. Its totient is φ = 385259031724272.

The previous prime is 385259051352257. The next prime is 385259051352323. The reversal of 385259051352289 is 982253150952583.

The square root of 385259051352289 is 19628017.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 6100578904225 + 379158472448064 = 2469935^2 + 19471992^2 .

It is not a de Polignac number, because 385259051352289 - 2⁵ = 385259051352257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385259051352689) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9814009 + ... + 29442025.

It is an arithmetic number, because the mean of its divisors is an integer number (128419690326769).

Almost surely, 2^{385259051352289} is an apocalyptic number.

385259051352289 is the 19628017-th square number.

385259051352289 is the 9814009-th centered octagonal number.

It is an amenable number.

385259051352289 is a deficient number, since it is larger than the sum of its proper divisors (19628018).

385259051352289 is an frugal number, since it uses more digits than its factorization.

385259051352289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39256034 (or 19628017 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 67.

The spelling of 385259051352289 in words is "three hundred eighty-five trillion, two hundred fifty-nine billion, fifty-one million, three hundred fifty-two thousand, two hundred eighty-nine".