258253000749 has 6 divisors (see below), whose sum is σ = 373032112206. Its totient is φ = 172168667160.

The previous prime is 258253000679. The next prime is 258253000763. The reversal of 258253000749 is 947000352852.

258253000749 is a `hidden beast` number, since 258 + 25 + 300 + 0 + 74 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219515675625 + 38737325124 = 468525^2 + 196818^2 .

It is not a de Polignac number, because 258253000749 - 2⁹ = 258253000237 is a prime.

It is a super-2 number, since 2×258253000749² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258253000769) 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 5 ways as a sum of consecutive naturals, for example, 14347388922 + ... + 14347388939.

It is an arithmetic number, because the mean of its divisors is an integer number (62172018701).

Almost surely, 2^258253000749 is an apocalyptic number.

It is an amenable number.

258253000749 is a deficient number, since it is larger than the sum of its proper divisors (114779111457).

258253000749 is a wasteful number, since it uses less digits than its factorization.

258253000749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28694777867 (or 28694777864 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 258253000749 in words is "two hundred fifty-eight billion, two hundred fifty-three million, seven hundred forty-nine", and thus it is an aban number.