259105801 has 2 divisors, whose sum is σ = 259105802. Its totient is φ = 259105800.

The previous prime is 259105751. The next prime is 259105813. The reversal of 259105801 is 108501952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237899776 + 21206025 = 15424^2 + 4605^2 .

It is a cyclic number.

It is not a de Polignac number, because 259105801 - 2¹³ = 259097609 is a prime.

It is a super-2 number, since 2×259105801² = 134271632223703202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (259105871) 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 as a sum of consecutive naturals, namely, 129552900 + 129552901.

It is an arithmetic number, because the mean of its divisors is an integer number (129552901).

Almost surely, 2^259105801 is an apocalyptic number.

It is an amenable number.

259105801 is a deficient number, since it is larger than the sum of its proper divisors (1).

259105801 is an equidigital number, since it uses as much as digits as its factorization.

259105801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 259105801 is about 16096.7636809391. The cubic root of 259105801 is about 637.5178934360.

The spelling of 259105801 in words is "two hundred fifty-nine million, one hundred five thousand, eight hundred one".