259520961 has 16 divisors (see below), whose sum is σ = 396489600. Its totient is φ = 147911808.

The previous prime is 259520959. The next prime is 259520977. The reversal of 259520961 is 169025952.

It is not a de Polignac number, because 259520961 - 2¹ = 259520959 is a prime.

It is a super-2 number, since 2×259520961² = 134702258396727042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259520951) 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 15 ways as a sum of consecutive naturals, for example, 7716 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (24780600).

Almost surely, 2^259520961 is an apocalyptic number.

259520961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

259520961 is a deficient number, since it is larger than the sum of its proper divisors (136968639).

259520961 is a wasteful number, since it uses less digits than its factorization.

259520961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32168.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 259520961 is about 16109.6542793444. The cubic root of 259520961 is about 637.8582057638.

The spelling of 259520961 in words is "two hundred fifty-nine million, five hundred twenty thousand, nine hundred sixty-one".