259128801 has 10 divisors (see below), whose sum is σ = 387093762. Its totient is φ = 172752480.

The previous prime is 259128799. The next prime is 259128803. The reversal of 259128801 is 108821952.

It is an interprime number because it is at equal distance from previous prime (259128799) and next prime (259128803).

It can be written as a sum of positive squares in only one way, i.e., 134583201 + 124545600 = 11601^2 + 11160^2 .

It is not a de Polignac number, because 259128801 - 2¹ = 259128799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259128803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1599480 + ... + 1599641.

Almost surely, 2^259128801 is an apocalyptic number.

It is an amenable number.

259128801 is a deficient number, since it is larger than the sum of its proper divisors (127964961).

259128801 is an equidigital number, since it uses as much as digits as its factorization.

259128801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199133 (or 3199124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 259128801 is about 16097.4780944097. The cubic root of 259128801 is about 637.5367563582.

The spelling of 259128801 in words is "two hundred fifty-nine million, one hundred twenty-eight thousand, eight hundred one".