5971425625 has 45 divisors (see below), whose sum is σ = 8231208139. Its totient is φ = 4327400000.

The previous prime is 5971425617. The next prime is 5971425631. The reversal of 5971425625 is 5265241795.

The square root of 5971425625 is 77275.

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 3603240729 + 2368184896 = 60027^2 + 48664^2 .

It is not a de Polignac number, because 5971425625 - 2³ = 5971425617 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21250485 + ... + 21250765.

Almost surely, 2^5971425625 is an apocalyptic number.

5971425625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5971425625 is the 77275-th square number.

5971425625 is the 38638-th centered octagonal number.

It is an amenable number.

5971425625 is a deficient number, since it is larger than the sum of its proper divisors (2259782514).

5971425625 is an frugal number, since it uses more digits than its factorization.

5971425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 297 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The cubic root of 5971425625 is about 1814.2313856038.

The spelling of 5971425625 in words is "five billion, nine hundred seventy-one million, four hundred twenty-five thousand, six hundred twenty-five".