258260125249 has 27 divisors (see below), whose sum is σ = 317152092771. Its totient is φ = 209660104080.

The previous prime is 258260125247. The next prime is 258260125267. The reversal of 258260125249 is 942521062852.

The square root of 258260125249 is 508193.

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., 231931817649 + 26328307600 = 481593^2 + 162260^2 .

It is not a de Polignac number, because 258260125249 - 2¹ = 258260125247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258260125199 and 258260125208.

It is not an unprimeable number, because it can be changed into a prime (258260125247) 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 in 26 ways as a sum of consecutive naturals, for example, 67587759 + ... + 67591579.

Almost surely, 2^258260125249 is an apocalyptic number.

258260125249 is the 508193-rd square number.

258260125249 is the 254097-th centered octagonal number.

It is an amenable number.

258260125249 is a deficient number, since it is larger than the sum of its proper divisors (58891967522).

258260125249 is an frugal number, since it uses more digits than its factorization.

258260125249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 258260125249 in words is "two hundred fifty-eight billion, two hundred sixty million, one hundred twenty-five thousand, two hundred forty-nine".