5583825625 has 75 divisors (see below), whose sum is σ = 8275618923. Its totient is φ = 3766140000.

The previous prime is 5583825563. The next prime is 5583825691. The reversal of 5583825625 is 5265283855.

The square root of 5583825625 is 74725.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5525394889 + 58430736 = 74333^2 + 7644^2 .

It is not a de Polignac number, because 5583825625 - 2⁹ = 5583825113 is a prime.

It is a super-2 number, since 2×5583825625² = 62358217220813281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 91538095 + ... + 91538155.

Almost surely, 2^5583825625 is an apocalyptic number.

5583825625 is the 74725-th square number.

5583825625 is the 37363-rd centered octagonal number.

It is an amenable number.

5583825625 is a deficient number, since it is larger than the sum of its proper divisors (2691793298).

5583825625 is an frugal number, since it uses more digits than its factorization.

5583825625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 73 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 49.

The cubic root of 5583825625 is about 1774.0966771756.

Multiplying 5583825625 by its sum of digits (49), we get a square (273607455625 = 523075²).

5583825625 divided by its sum of digits (49) gives a square (113955625 = 10675²).

The spelling of 5583825625 in words is "five billion, five hundred eighty-three million, eight hundred twenty-five thousand, six hundred twenty-five".