5613825 has 72 divisors (see below), whose sum is σ = 11572672. Its totient is φ = 2350080.

The previous prime is 5613799. The next prime is 5613833. The reversal of 5613825 is 5283165.

It is not a de Polignac number, because 5613825 - 2⁹ = 5613313 is a prime.

It is a super-2 number, since 2×5613825² = 63030062261250, which contains 22 as substring.

It is a Duffinian number.

5613825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5613792 and 5613801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151707 + ... + 151743.

Almost surely, 2^5613825 is an apocalyptic number.

It is an amenable number.

5613825 is an abundant number, since it is smaller than the sum of its proper divisors (5958847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5613825 is a wasteful number, since it uses less digits than its factorization.

5613825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5613825 is about 2369.3511770103. The cubic root of 5613825 is about 177.7268144572.

The spelling of 5613825 in words is "five million, six hundred thirteen thousand, eight hundred twenty-five".