10257306506209 has 27 divisors (see below), whose sum is σ = 12330122643441. Its totient is φ = 8507788357320.

The previous prime is 10257306506207. The next prime is 10257306506257. The reversal of 10257306506209 is 90260560375201.

The square root of 10257306506209 is 3202703.

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

It is not a de Polignac number, because 10257306506209 - 2¹ = 10257306506207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10257306506207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 694979172 + ... + 694993930.

Almost surely, 2^{10257306506209} is an apocalyptic number.

10257306506209 is the 3202703-rd square number.

10257306506209 is the 1601352-nd centered octagonal number.

It is an amenable number.

10257306506209 is a deficient number, since it is larger than the sum of its proper divisors (2072816137232).

10257306506209 is an frugal number, since it uses more digits than its factorization.

10257306506209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29594 (or 14797 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 10257306506209 in words is "ten trillion, two hundred fifty-seven billion, three hundred six million, five hundred six thousand, two hundred nine".