2505610625 has 20 divisors (see below), whose sum is σ = 3578304576. Its totient is φ = 1718130000.

The previous prime is 2505610567. The next prime is 2505610687. The reversal of 2505610625 is 5260165052.

It is not a de Polignac number, because 2505610625 - 2⁸ = 2505610369 is a prime.

It is a super-2 number, since 2×2505610625² = 12556169208225781250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2505610591 and 2505610600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 281981 + ... + 290730.

Almost surely, 2^2505610625 is an apocalyptic number.

2505610625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505610625 is a deficient number, since it is larger than the sum of its proper divisors (1072693951).

2505610625 is an frugal number, since it uses more digits than its factorization.

2505610625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572738 (or 572723 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 2505610625 is about 50056.0748061611. The cubic root of 2505610625 is about 1358.2233549994.

Adding to 2505610625 its reverse (5260165052), we get a palindrome (7765775677).

The spelling of 2505610625 in words is "two billion, five hundred five million, six hundred ten thousand, six hundred twenty-five".