259648001 has 2 divisors, whose sum is σ = 259648002. Its totient is φ = 259648000.

The previous prime is 259647979. The next prime is 259648063. The reversal of 259648001 is 100846952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238671601 + 20976400 = 15449^2 + 4580^2 .

It is a cyclic number.

It is not a de Polignac number, because 259648001 - 2⁶ = 259647937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (259648601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129824000 + 129824001.

It is an arithmetic number, because the mean of its divisors is an integer number (129824001).

Almost surely, 2^259648001 is an apocalyptic number.

It is an amenable number.

259648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

259648001 is an equidigital number, since it uses as much as digits as its factorization.

259648001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 259648001 is about 16113.5967741532. The cubic root of 259648001 is about 637.9622696607.

The spelling of 259648001 in words is "two hundred fifty-nine million, six hundred forty-eight thousand, one".