52065728790345 has 24 divisors (see below), whose sum is σ = 90247542238152. Its totient is φ = 27768302841600.

The previous prime is 52065728790319. The next prime is 52065728790349. The reversal of 52065728790345 is 54309782756025.

52065728790345 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 5 + 7 + 287 + 9 + 0 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12631712108544 + 39434016681801 = 3554112^2 + 6279651^2 .

It is not a de Polignac number, because 52065728790345 - 2⁷ = 52065728790217 is a prime.

It is a super-2 number, since 2×52065728790345² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52065728790349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14574285 + ... + 17791605.

It is an arithmetic number, because the mean of its divisors is an integer number (3760314259923).

Almost surely, 2^{52065728790345} is an apocalyptic number.

It is an amenable number.

52065728790345 is a deficient number, since it is larger than the sum of its proper divisors (38181813447807).

52065728790345 is a wasteful number, since it uses less digits than its factorization.

52065728790345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576953 (or 3576950 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 52065728790345 in words is "fifty-two trillion, sixty-five billion, seven hundred twenty-eight million, seven hundred ninety thousand, three hundred forty-five".