258523353 has 64 divisors (see below), whose sum is σ = 441999360. Its totient is φ = 147873600.

The previous prime is 258523303. The next prime is 258523387. The reversal of 258523353 is 353325852.

258523353 is a `hidden beast` number, since 2 + 585 + 23 + 3 + 53 = 666.

258523353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258523353 - 2¹² = 258519257 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (258523303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395575 + ... + 396227.

It is an arithmetic number, because the mean of its divisors is an integer number (6906240).

Almost surely, 2^258523353 is an apocalyptic number.

It is an amenable number.

258523353 is a deficient number, since it is larger than the sum of its proper divisors (183476007).

258523353 is a wasteful number, since it uses less digits than its factorization.

258523353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 258523353 is about 16078.6614181654. The cubic root of 258523353 is about 637.0398395531.

The spelling of 258523353 in words is "two hundred fifty-eight million, five hundred twenty-three thousand, three hundred fifty-three".