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259190801 is a prime number
BaseRepresentation
bin11110111001011…
…11000000010001
3200001201020221022
433130233000101
51012323101201
641415205225
76265041212
oct1734570021
9601636838
10259190801
11123340981
1272976815
134190cb4c
14265cd409
1517b4c41b
hexf72f011

259190801 has 2 divisors, whose sum is σ = 259190802. Its totient is φ = 259190800.

The previous prime is 259190779. The next prime is 259190843. The reversal of 259190801 is 108091952.

259190801 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., 226472401 + 32718400 = 15049^2 + 5720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-259190801 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 (259190861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129595400 + 129595401.

It is an arithmetic number, because the mean of its divisors is an integer number (129595401).

Almost surely, 2259190801 is an apocalyptic number.

It is an amenable number.

259190801 is a deficient number, since it is larger than the sum of its proper divisors (1).

259190801 is an equidigital number, since it uses as much as digits as its factorization.

259190801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 259190801 is about 16099.4037467230. The cubic root of 259190801 is about 637.5875986764.

The spelling of 259190801 in words is "two hundred fifty-nine million, one hundred ninety thousand, eight hundred one".