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259129841 is a prime number
BaseRepresentation
bin11110111001000…
…00000111110001
3200001121011022112
433130200013301
51012314123331
641414015105
76264365405
oct1734400761
9601534275
10259129841
111232aa0a3
1272947495
13418bb189
14265b5105
1517b3932b
hexf7201f1

259129841 has 2 divisors, whose sum is σ = 259129842. Its totient is φ = 259129840.

The previous prime is 259129831. The next prime is 259129853. The reversal of 259129841 is 148921952.

259129841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168480400 + 90649441 = 12980^2 + 9521^2 .

It is a cyclic number.

It is not a de Polignac number, because 259129841 - 210 = 259128817 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (259129811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129564920 + 129564921.

It is an arithmetic number, because the mean of its divisors is an integer number (129564921).

Almost surely, 2259129841 is an apocalyptic number.

It is an amenable number.

259129841 is a deficient number, since it is larger than the sum of its proper divisors (1).

259129841 is an equidigital number, since it uses as much as digits as its factorization.

259129841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51840, while the sum is 41.

The square root of 259129841 is about 16097.5103975739. The cubic root of 259129841 is about 637.5376092640.

It can be divided in two parts, 25912 and 9841, that added together give a palindrome (35753).

The spelling of 259129841 in words is "two hundred fifty-nine million, one hundred twenty-nine thousand, eight hundred forty-one".