259041152391225 has 48 divisors (see below), whose sum is σ = 432835827400704. Its totient is φ = 136688561064000.

The previous prime is 259041152391181. The next prime is 259041152391227. The reversal of 259041152391225 is 522193251140952.

It is not a de Polignac number, because 259041152391225 - 2¹⁰ = 259041152390201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259041152391227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6939961 + ... + 23795910.

It is an arithmetic number, because the mean of its divisors is an integer number (9017413070848).

Almost surely, 2^{259041152391225} is an apocalyptic number.

259041152391225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

259041152391225 is a deficient number, since it is larger than the sum of its proper divisors (173794675009479).

259041152391225 is a wasteful number, since it uses less digits than its factorization.

259041152391225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30737078 (or 30737073 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 259041152391225 in words is "two hundred fifty-nine trillion, forty-one billion, one hundred fifty-two million, three hundred ninety-one thousand, two hundred twenty-five".