258806052 has 36 divisors (see below), whose sum is σ = 657611500. Its totient is φ = 85821696.

The previous prime is 258806029. The next prime is 258806057. The reversal of 258806052 is 250608852.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 258759396 = 216^2 + 16086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258805998 and 258806016.

It is not an unprimeable number, because it can be changed into a prime (258806057) 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 11 ways as a sum of consecutive naturals, for example, 1340868 + ... + 1341060.

Almost surely, 2^258806052 is an apocalyptic number.

It is an amenable number.

258806052 is an abundant number, since it is smaller than the sum of its proper divisors (398805448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258806052 is an frugal number, since it uses more digits than its factorization.

258806052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258806052 is about 16087.4501397829. The cubic root of 258806052 is about 637.2719590367.

258806052 divided by its sum of digits (36) gives a cube (7189057 = 193³).

The spelling of 258806052 in words is "two hundred fifty-eight million, eight hundred six thousand, fifty-two".