258613325 has 12 divisors (see below), whose sum is σ = 320935188. Its totient is φ = 206726400.

The previous prime is 258613319. The next prime is 258613331. The reversal of 258613325 is 523316852.

It is an interprime number because it is at equal distance from previous prime (258613319) and next prime (258613331).

It can be written as a sum of positive squares in 6 ways, for example, as 2709316 + 255904009 = 1646^2 + 15997^2 .

It is not a de Polignac number, because 258613325 - 2¹² = 258609229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 35495 + ... + 42155.

It is an arithmetic number, because the mean of its divisors is an integer number (26744599).

Almost surely, 2^258613325 is an apocalyptic number.

258613325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258613325 is a deficient number, since it is larger than the sum of its proper divisors (62321863).

258613325 is a wasteful number, since it uses less digits than its factorization.

258613325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8219 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 258613325 is about 16081.4590445021. The cubic root of 258613325 is about 637.1137324271.

The spelling of 258613325 in words is "two hundred fifty-eight million, six hundred thirteen thousand, three hundred twenty-five".