259892541319489 has 27 divisors (see below), whose sum is σ = 294195289771593. Its totient is φ = 229466081493792.

The previous prime is 259892541319471. The next prime is 259892541319501. The reversal of 259892541319489 is 984913145298952.

The square root of 259892541319489 is 16121183.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156619793537089 + 103272747782400 = 12514783^2 + 10162320^2 .

It is not a de Polignac number, because 259892541319489 - 2⁵ = 259892541319457 is a prime.

It is a super-2 number, since 2×259892541319489² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259892541319459) 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, 4820206759 + ... + 4820260675.

Almost surely, 2^{259892541319489} is an apocalyptic number.

259892541319489 is the 16121183-rd square number.

259892541319489 is the 8060592-nd centered octagonal number.

It is an amenable number.

259892541319489 is a deficient number, since it is larger than the sum of its proper divisors (34302748452104).

259892541319489 is an frugal number, since it uses more digits than its factorization.

259892541319489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107906 (or 53953 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 79.

The spelling of 259892541319489 in words is "two hundred fifty-nine trillion, eight hundred ninety-two billion, five hundred forty-one million, three hundred nineteen thousand, four hundred eighty-nine".