258084225 has 189 divisors, whose sum is σ = 592918617. Its totient is φ = 111041280.

The previous prime is 258084199. The next prime is 258084227. The reversal of 258084225 is 522480852.

The square root of 258084225 is 16065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6036849 + 252047376 = 2457^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 258084225 - 2¹³ = 258076033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258084225.

It is not an unprimeable number, because it can be changed into a prime (258084227) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 15181417 + ... + 15181433.

Almost surely, 2^258084225 is an apocalyptic number.

258084225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258084225 is the 16065-th square number.

258084225 is the 8033-rd centered octagonal number.

It is an amenable number.

258084225 is an abundant number, since it is smaller than the sum of its proper divisors (334834392).

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

258084225 is an equidigital number, since it uses as much as digits as its factorization.

258084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The cubic root of 258084225 is about 636.6789429879.

Multiplying 258084225 by its sum of digits (36), we get a square (9291032100 = 96390²).

The spelling of 258084225 in words is "two hundred fifty-eight million, eighty-four thousand, two hundred twenty-five".