259280001 has 32 divisors (see below), whose sum is σ = 402186240. Its totient is φ = 164883600.

The previous prime is 259279991. The next prime is 259280003. The reversal of 259280001 is 100082952.

It is a de Polignac number, because none of the positive numbers 2^k-259280001 is a prime.

It is a super-2 number, since 2×259280001² = 134452237837120002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (259280003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57246 + ... + 61608.

It is an arithmetic number, because the mean of its divisors is an integer number (12568320).

Almost surely, 2^259280001 is an apocalyptic number.

It is an amenable number.

259280001 is a deficient number, since it is larger than the sum of its proper divisors (142906239).

259280001 is a wasteful number, since it uses less digits than its factorization.

259280001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 259280001 is about 16102.1737973480. The cubic root of 259280001 is about 637.6607317899.

The spelling of 259280001 in words is "two hundred fifty-nine million, two hundred eighty thousand, one".