259189937449 has 9 divisors (see below), whose sum is σ = 260184965431. Its totient is φ = 258198706120.

The previous prime is 259189937441. The next prime is 259189937533. The reversal of 259189937449 is 944739981952.

The square root of 259189937449 is 509107.

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

259189937449 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 only one way, i.e., 7856163225 + 251333774224 = 88635^2 + 501332^2 .

It is not a de Polignac number, because 259189937449 - 2³ = 259189937441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259189937441) 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 8 ways as a sum of consecutive naturals, for example, 158331459 + ... + 158333095.

Almost surely, 2^259189937449 is an apocalyptic number.

259189937449 is the 509107-th square number.

259189937449 is the 254554-th centered octagonal number.

It is an amenable number.

259189937449 is a deficient number, since it is larger than the sum of its proper divisors (995027982).

259189937449 is an frugal number, since it uses more digits than its factorization.

259189937449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 1948 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 70.

The spelling of 259189937449 in words is "two hundred fifty-nine billion, one hundred eighty-nine million, nine hundred thirty-seven thousand, four hundred forty-nine".