3503825325 has 288 divisors, whose sum is σ = 8631447552. Its totient is φ = 1311552000.

The previous prime is 3503825309. The next prime is 3503825387. The reversal of 3503825325 is 5235283053.

3503825325 is a `hidden beast` number, since 3 + 503 + 82 + 53 + 25 = 666.

It is not a de Polignac number, because 3503825325 - 2⁴ = 3503825309 is a prime.

It is a super-2 number, since 2×3503825325² = 24553583816222711250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3503825325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10585410 + ... + 10585740.

It is an arithmetic number, because the mean of its divisors is an integer number (29970304).

Almost surely, 2^3503825325 is an apocalyptic number.

3503825325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3503825325 is an abundant number, since it is smaller than the sum of its proper divisors (5127622227).

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

3503825325 is a wasteful number, since it uses less digits than its factorization.

3503825325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3503825325 is about 59193.1188990747. The cubic root of 3503825325 is about 1518.8474245281.

It can be divided in two parts, 3503 and 825325, that added together give a palindrome (828828).

The spelling of 3503825325 in words is "three billion, five hundred three million, eight hundred twenty-five thousand, three hundred twenty-five".