2559350441209 has 9 divisors (see below), whose sum is σ = 2566828833933. Its totient is φ = 2551893787392.

The previous prime is 2559350441171. The next prime is 2559350441227. The reversal of 2559350441209 is 9021440539552.

The square root of 2559350441209 is 1599797.

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

2559350441209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 778268018025 + 1781082423184 = 882195^2 + 1334572^2 .

It is not a de Polignac number, because 2559350441209 - 2⁹ = 2559350440697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2559350441309) 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, 596722137 + ... + 596726425.

Almost surely, 2^{2559350441209} is an apocalyptic number.

2559350441209 is the 1599797-th square number.

2559350441209 is the 799899-th centered octagonal number.

It is an amenable number.

2559350441209 is a deficient number, since it is larger than the sum of its proper divisors (7478392724).

2559350441209 is an frugal number, since it uses more digits than its factorization.

2559350441209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 2559350441209 by its sum of digits (49), we get a square (125408171619241 = 11198579²).

The spelling of 2559350441209 in words is "two trillion, five hundred fifty-nine billion, three hundred fifty million, four hundred forty-one thousand, two hundred nine".