6416513325 has 72 divisors (see below), whose sum is σ = 11812655400. Its totient is φ = 3327436800.

The previous prime is 6416513309. The next prime is 6416513347. The reversal of 6416513325 is 5233156146.

6416513325 is a `hidden beast` number, since 641 + 6 + 5 + 1 + 3 + 3 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1893816324 + 4522697001 = 43518^2 + 67251^2 .

It is not a de Polignac number, because 6416513325 - 2⁴ = 6416513309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6416513325.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3218529 + ... + 3220521.

Almost surely, 2^6416513325 is an apocalyptic number.

It is an amenable number.

6416513325 is a deficient number, since it is larger than the sum of its proper divisors (5396142075).

6416513325 is a wasteful number, since it uses less digits than its factorization.

6416513325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 6416513325 is about 80103.1417923167. The cubic root of 6416513325 is about 1858.2309967083.

The spelling of 6416513325 in words is "six billion, four hundred sixteen million, five hundred thirteen thousand, three hundred twenty-five".