2505833325 has 108 divisors (see below), whose sum is σ = 4827125940. Its totient is φ = 1241602560.

The previous prime is 2505833293. The next prime is 2505833333. The reversal of 2505833325 is 5233385052.

2505833325 is a `hidden beast` number, since 2 + 50 + 583 + 3 + 3 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24000201 + 2481833124 = 4899^2 + 49818^2 .

It is not a de Polignac number, because 2505833325 - 2⁵ = 2505833293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2505833325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4403641 + ... + 4404209.

Almost surely, 2^2505833325 is an apocalyptic number.

2505833325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505833325 is a deficient number, since it is larger than the sum of its proper divisors (2321292615).

2505833325 is a wasteful number, since it uses less digits than its factorization.

2505833325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2505833325 is about 50058.2992619605. The cubic root of 2505833325 is about 1358.2635936778.

The spelling of 2505833325 in words is "two billion, five hundred five million, eight hundred thirty-three thousand, three hundred twenty-five".