259116631225 has 9 divisors (see below), whose sum is σ = 321307778767. Its totient is φ = 207291268840.

The previous prime is 259116631223. The next prime is 259116631237. The reversal of 259116631225 is 522136611952.

The square root of 259116631225 is 509035.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 93281987241 + 165834643984 = 305421^2 + 407228^2 .

It is not a de Polignac number, because 259116631225 - 2¹ = 259116631223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259116631223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2494272 + ... + 2596078.

Almost surely, 2^259116631225 is an apocalyptic number.

259116631225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259116631225 is the 509035-th square number.

259116631225 is the 254518-th centered octagonal number.

It is an amenable number.

259116631225 is a deficient number, since it is larger than the sum of its proper divisors (62191147542).

259116631225 is an frugal number, since it uses more digits than its factorization.

259116631225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203624 (or 101812 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The spelling of 259116631225 in words is "two hundred fifty-nine billion, one hundred sixteen million, six hundred thirty-one thousand, two hundred twenty-five".