5652868682565 has 48 divisors (see below), whose sum is σ = 10552287079152. Its totient is φ = 2782880704512.

The previous prime is 5652868682561. The next prime is 5652868682581.

5652868682565 is a `hidden beast` number, since 5 + 6 + 52 + 8 + 6 + 8 + 6 + 8 + 2 + 565 = 666.

5652868682565 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3576036063681 + 2076832618884 = 1891041^2 + 1441122^2 .

It is not a de Polignac number, because 5652868682565 - 2² = 5652868682561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5652868682493 and 5652868682502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652868682561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29172739 + ... + 29365871.

It is an arithmetic number, because the mean of its divisors is an integer number (219839314149).

Almost surely, 2^{5652868682565} is an apocalyptic number.

It is an amenable number.

5652868682565 is a deficient number, since it is larger than the sum of its proper divisors (4899418396587).

5652868682565 is a wasteful number, since it uses less digits than its factorization.

5652868682565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243190 (or 243187 counting only the distinct ones).

The product of its digits is 1658880000, while the sum is 72.

The spelling of 5652868682565 in words is "five trillion, six hundred fifty-two billion, eight hundred sixty-eight million, six hundred eighty-two thousand, five hundred sixty-five".