258133725 has 36 divisors (see below), whose sum is σ = 463661172. Its totient is φ = 137280000.

The previous prime is 258133657. The next prime is 258133741. The reversal of 258133725 is 527331852.

It is a happy number.

258133725 is a `hidden beast` number, since 2 + 581 + 3 + 3 + 72 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13461561 + 244672164 = 3669^2 + 15642^2 .

It is not a de Polignac number, because 258133725 - 2¹⁶ = 258068189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258133725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88795 + ... + 91655.

It is an arithmetic number, because the mean of its divisors is an integer number (12879477).

Almost surely, 2^258133725 is an apocalyptic number.

258133725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258133725 is a deficient number, since it is larger than the sum of its proper divisors (205527447).

258133725 is a wasteful number, since it uses less digits than its factorization.

258133725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 258133725 is about 16066.5405423819. The cubic root of 258133725 is about 636.7196449371.

The spelling of 258133725 in words is "two hundred fifty-eight million, one hundred thirty-three thousand, seven hundred twenty-five".