259293805681 has 9 divisors (see below), whose sum is σ = 260392720473. Its totient is φ = 258199515540.

The previous prime is 259293805637. The next prime is 259293805691. The reversal of 259293805681 is 186508392952.

The square root of 259293805681 is 509209.

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

It is not a de Polignac number, because 259293805681 - 2¹³ = 259293797489 is a prime.

It is a super-2 number, since 2×259293805681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259293805621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137994700 + ... + 137996578.

It is an arithmetic number, because the mean of its divisors is an integer number (28932524497).

Almost surely, 2^259293805681 is an apocalyptic number.

259293805681 is the 509209-th square number.

259293805681 is the 254605-th centered octagonal number.

It is an amenable number.

259293805681 is a deficient number, since it is larger than the sum of its proper divisors (1098914792).

259293805681 is an frugal number, since it uses more digits than its factorization.

259293805681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 259293805681 in words is "two hundred fifty-nine billion, two hundred ninety-three million, eight hundred five thousand, six hundred eighty-one".