259466965641 has 81 divisors (see below), whose sum is σ = 418282776639. Its totient is φ = 154916416512.

The previous prime is 259466965633. The next prime is 259466965643. The reversal of 259466965641 is 146569664952.

The square root of 259466965641 is 509379.

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

259466965641 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 6 + 69 + 6 + 564 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 137459270025 + 122007695616 = 370755^2 + 349296^2 .

It is not a de Polignac number, because 259466965641 - 2³ = 259466965633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259466965643) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 735033721 + ... + 735034073.

Almost surely, 2^259466965641 is an apocalyptic number.

259466965641 is the 509379-th square number.

259466965641 is the 254690-th centered octagonal number.

It is an amenable number.

259466965641 is a deficient number, since it is larger than the sum of its proper divisors (158815810998).

259466965641 is an equidigital number, since it uses as much as digits as its factorization.

259466965641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 406 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 259466965641 in words is "two hundred fifty-nine billion, four hundred sixty-six million, nine hundred sixty-five thousand, six hundred forty-one".