258035825 has 12 divisors (see below), whose sum is σ = 320163660. Its totient is φ = 206300160.

The previous prime is 258035803. The next prime is 258035861. The reversal of 258035825 is 528530852.

It can be written as a sum of positive squares in 6 ways, for example, as 13957696 + 244078129 = 3736^2 + 15623^2 .

It is not a de Polignac number, because 258035825 - 2¹⁴ = 258019441 is a prime.

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, 77597 + ... + 80853.

It is an arithmetic number, because the mean of its divisors is an integer number (26680305).

Almost surely, 2^258035825 is an apocalyptic number.

258035825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258035825 is a deficient number, since it is larger than the sum of its proper divisors (62127835).

258035825 is a wasteful number, since it uses less digits than its factorization.

258035825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 258035825 is about 16063.4935490385. The cubic root of 258035825 is about 636.6391404940.

The spelling of 258035825 in words is "two hundred fifty-eight million, thirty-five thousand, eight hundred twenty-five".