10013625 has 80 divisors (see below), whose sum is σ = 19933056. Its totient is φ = 4989600.

The previous prime is 10013621. The next prime is 10013639. The reversal of 10013625 is 52631001.

It is not a de Polignac number, because 10013625 - 2² = 10013621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10013598 and 10013607.

It is not an unprimeable number, because it can be changed into a prime (10013621) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 232854 + ... + 232896.

Almost surely, 2^10013625 is an apocalyptic number.

10013625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10013625 is a deficient number, since it is larger than the sum of its proper divisors (9919431).

10013625 is an equidigital number, since it uses as much as digits as its factorization.

10013625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10013625 is about 3164.4312285148. The cubic root of 10013625 is about 215.5412718400.

Adding to 10013625 its reverse (52631001), we get a palindrome (62644626).

The spelling of 10013625 in words is "ten million, thirteen thousand, six hundred twenty-five".