259434482401 has 12 divisors (see below), whose sum is σ = 268259239956. Its totient is φ = 250891486560.

The previous prime is 259434482389. The next prime is 259434482413. The reversal of 259434482401 is 104284434952.

It is an interprime number because it is at equal distance from previous prime (259434482389) and next prime (259434482413).

It can be written as a sum of positive squares in 2 ways, for example, as 257211265600 + 2223216801 = 507160^2 + 47151^2 .

It is not a de Polignac number, because 259434482401 - 2¹⁷ = 259434351329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259434482431) 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, 1303435 + ... + 1489231.

It is an arithmetic number, because the mean of its divisors is an integer number (22354936663).

Almost surely, 2^259434482401 is an apocalyptic number.

It is an amenable number.

259434482401 is a deficient number, since it is larger than the sum of its proper divisors (8824757555).

259434482401 is a wasteful number, since it uses less digits than its factorization.

259434482401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187312 (or 187281 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 259434482401 in words is "two hundred fifty-nine billion, four hundred thirty-four million, four hundred eighty-two thousand, four hundred one".