259090641 has 12 divisors (see below), whose sum is σ = 375851268. Its totient is φ = 171984384.

The previous prime is 259090639. The next prime is 259090661. The reversal of 259090641 is 146090952.

259090641 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 9 + 0 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49999041 + 209091600 = 7071^2 + 14460^2 .

It is not a de Polignac number, because 259090641 - 2¹ = 259090639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259090596 and 259090605.

It is not an unprimeable number, because it can be changed into a prime (259090661) 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, 59680 + ... + 63873.

It is an arithmetic number, because the mean of its divisors is an integer number (31320939).

Almost surely, 2^259090641 is an apocalyptic number.

It is an amenable number.

259090641 is a deficient number, since it is larger than the sum of its proper divisors (116760627).

259090641 is a wasteful number, since it uses less digits than its factorization.

259090641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123792 (or 123789 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 259090641 is about 16096.2927719398. The cubic root of 259090641 is about 637.5054596995.

The spelling of 259090641 in words is "two hundred fifty-nine million, ninety thousand, six hundred forty-one".