10005025 has 24 divisors (see below), whose sum is σ = 13061664. Its totient is φ = 7593600.

The previous prime is 10005019. The next prime is 10005041. The reversal of 10005025 is 52050001.

10005025 = 308² + 309² + ... + 389².

It is not a de Polignac number, because 10005025 - 2⁹ = 10004513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10004996 and 10005014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43962 + ... + 44188.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^10005025 is an apocalyptic number.

It is an amenable number.

10005025 is a deficient number, since it is larger than the sum of its proper divisors (3056639).

10005025 is a wasteful number, since it uses less digits than its factorization.

10005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 10005025 is about 3163.0720826437. The cubic root of 10005025 is about 215.4795497414.

Adding to 10005025 its reverse (52050001), we get a palindrome (62055026).

The spelling of 10005025 in words is "ten million, five thousand, twenty-five".