2505605825 has 6 divisors (see below), whose sum is σ = 3106951254. Its totient is φ = 2004484640.

The previous prime is 2505605821. The next prime is 2505605827. The reversal of 2505605825 is 5285065052.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 640747969 + 1864857856 = 25313^2 + 43184^2 .

It is not a de Polignac number, because 2505605825 - 2² = 2505605821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505605821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50112092 + ... + 50112141.

It is an arithmetic number, because the mean of its divisors is an integer number (517825209).

Almost surely, 2^2505605825 is an apocalyptic number.

2505605825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505605825 is a deficient number, since it is larger than the sum of its proper divisors (601345429).

2505605825 is a wasteful number, since it uses less digits than its factorization.

2505605825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100224243 (or 100224238 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The square root of 2505605825 is about 50056.0268599097. The cubic root of 2505605825 is about 1358.2224876824. Note that the first 3 decimals are identical.

The spelling of 2505605825 in words is "two billion, five hundred five million, six hundred five thousand, eight hundred twenty-five".