20385017310529 has 27 divisors (see below), whose sum is σ = 20874975954147. Its totient is φ = 19906497473184.

The previous prime is 20385017310487. The next prime is 20385017310653. The reversal of 20385017310529 is 92501371058302.

The square root of 20385017310529 is 4514977.

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., 11571528873025 + 8813488437504 = 3401695^2 + 2968752^2 .

It is not a de Polignac number, because 20385017310529 - 2²⁷ = 20384883092801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20385017710529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41858351524 + ... + 41858352010.

It is an arithmetic number, because the mean of its divisors is an integer number (773147257561).

Almost surely, 2^{20385017310529} is an apocalyptic number.

20385017310529 is the 4514977-th square number.

20385017310529 is the 2257489-th centered octagonal number.

It is an amenable number.

20385017310529 is a deficient number, since it is larger than the sum of its proper divisors (489958643618).

20385017310529 is an frugal number, since it uses more digits than its factorization.

20385017310529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 20385017310529 in words is "twenty trillion, three hundred eighty-five billion, seventeen million, three hundred ten thousand, five hundred twenty-nine".