5609901825 has 324 divisors, whose sum is σ = 12637357824. Its totient is φ = 2369664000.

The previous prime is 5609901797. The next prime is 5609901827. The reversal of 5609901825 is 5281099065.

5609901825 is a `hidden beast` number, since 5 + 609 + 9 + 0 + 18 + 25 = 666.

5609901825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5609901825 - 2⁸ = 5609901569 is a prime.

It is a super-2 number, since 2×5609901825² = 62941996972276661250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5609901827) 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 323 ways as a sum of consecutive naturals, for example, 180964560 + ... + 180964590.

Almost surely, 2^5609901825 is an apocalyptic number.

5609901825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5609901825 is an abundant number, since it is smaller than the sum of its proper divisors (7027455999).

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

5609901825 is a wasteful number, since it uses less digits than its factorization.

5609901825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5609901825 is about 74899.2778670128. The cubic root of 5609901825 is about 1776.8540383957.

The spelling of 5609901825 in words is "five billion, six hundred nine million, nine hundred one thousand, eight hundred twenty-five".