258305853 has 24 divisors (see below), whose sum is σ = 374052000. Its totient is φ = 158483520.

The previous prime is 258305849. The next prime is 258305891. The reversal of 258305853 is 358503852.

It is not a de Polignac number, because 258305853 - 2² = 258305849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258305833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252483 + ... + 253503.

It is an arithmetic number, because the mean of its divisors is an integer number (15585500).

Almost surely, 2^258305853 is an apocalyptic number.

It is an amenable number.

258305853 is a deficient number, since it is larger than the sum of its proper divisors (115746147).

258305853 is a wasteful number, since it uses less digits than its factorization.

258305853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 258305853 is about 16071.8963722393. The cubic root of 258305853 is about 636.8611386888.

The spelling of 258305853 in words is "two hundred fifty-eight million, three hundred five thousand, eight hundred fifty-three".