258382105969 has 27 divisors (see below), whose sum is σ = 284892846147. Its totient is φ = 234230630400.

The previous prime is 258382105921. The next prime is 258382106023. The reversal of 258382105969 is 969501283852.

The square root of 258382105969 is 508313.

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

It can be written as a sum of positive squares in 13 ways, for example, as 241459218225 + 16922887744 = 491385^2 + 130088^2 .

It is not a de Polignac number, because 258382105969 - 2²³ = 258373717361 is a prime.

It is a super-2 number, since 2×258382105969² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258382105909) 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 26 ways as a sum of consecutive naturals, for example, 403091889 + ... + 403092529.

Almost surely, 2^258382105969 is an apocalyptic number.

258382105969 is the 508313-rd square number.

258382105969 is the 254157-th centered octagonal number.

It is an amenable number.

258382105969 is a deficient number, since it is larger than the sum of its proper divisors (26510740178).

258382105969 is an frugal number, since it uses more digits than its factorization.

258382105969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 258382105969 in words is "two hundred fifty-eight billion, three hundred eighty-two million, one hundred five thousand, nine hundred sixty-nine".