10025613 has 20 divisors (see below), whose sum is σ = 16130268. Its totient is φ = 6168960.

The previous prime is 10025599. The next prime is 10025621. The reversal of 10025613 is 31652001.

10025613 is a `hidden beast` number, since 100 + 2 + 561 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2832489 + 7193124 = 1683^2 + 2682^2 .

It is not a de Polignac number, because 10025613 - 2⁸ = 10025357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025623) 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 19 ways as a sum of consecutive naturals, for example, 3708 + ... + 5813.

Almost surely, 2^10025613 is an apocalyptic number.

10025613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10025613 is a deficient number, since it is larger than the sum of its proper divisors (6104655).

10025613 is an equidigital number, since it uses as much as digits as its factorization.

10025613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9537 counting only the distinct ones).

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

The square root of 10025613 is about 3166.3248412000. The cubic root of 10025613 is about 215.6272506381.

Adding to 10025613 its reverse (31652001), we get a palindrome (41677614).

The spelling of 10025613 in words is "ten million, twenty-five thousand, six hundred thirteen".