258405625 has 15 divisors (see below), whose sum is σ = 323406633. Its totient is φ = 206403000.

The previous prime is 258405583. The next prime is 258405649. The reversal of 258405625 is 526504852.

The square root of 258405625 is 16075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 20259001 + 238146624 = 4501^2 + 15432^2 .

It is not a de Polignac number, because 258405625 - 2⁹ = 258405113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 401554 + ... + 402196.

Almost surely, 2^258405625 is an apocalyptic number.

258405625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258405625 is the 16075-th square number.

258405625 is the 8038-th centered octagonal number.

It is an amenable number.

258405625 is a deficient number, since it is larger than the sum of its proper divisors (65001008).

258405625 is an frugal number, since it uses more digits than its factorization.

258405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The cubic root of 258405625 is about 636.9431251267.

The spelling of 258405625 in words is "two hundred fifty-eight million, four hundred five thousand, six hundred twenty-five".