259617121 has 12 divisors (see below), whose sum is σ = 275650452. Its totient is φ = 244472544.

The previous prime is 259617119. The next prime is 259617133. The reversal of 259617121 is 121716952.

It can be written as a sum of positive squares in 2 ways, for example, as 184552225 + 75064896 = 13585^2 + 8664^2 .

It is not a de Polignac number, because 259617121 - 2¹ = 259617119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259612121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60375 + ... + 64531.

It is an arithmetic number, because the mean of its divisors is an integer number (22970871).

Almost surely, 2^259617121 is an apocalyptic number.

It is an amenable number.

259617121 is a deficient number, since it is larger than the sum of its proper divisors (16033331).

259617121 is a wasteful number, since it uses less digits than its factorization.

259617121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4349 counting only the distinct ones).

The product of its digits is 7560, while the sum is 34.

The square root of 259617121 is about 16112.6385486673. The cubic root of 259617121 is about 637.9369776553.

The spelling of 259617121 in words is "two hundred fifty-nine million, six hundred seventeen thousand, one hundred twenty-one".