52563306105 has 320 divisors, whose sum is σ = 108391219200. Its totient is φ = 24237480960.

The previous prime is 52563306101. The next prime is 52563306109. The reversal of 52563306105 is 50160336525.

52563306105 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 3 + 30 + 610 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (52563306101) and next prime (52563306109).

It is not a de Polignac number, because 52563306105 - 2² = 52563306101 is a prime.

It is a super-2 number, since 2×52563306105² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52563306105.

It is not an unprimeable number, because it can be changed into a prime (52563306101) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 590598901 + ... + 590598989.

It is an arithmetic number, because the mean of its divisors is an integer number (338722560).

Almost surely, 2^52563306105 is an apocalyptic number.

It is an amenable number.

52563306105 is an abundant number, since it is smaller than the sum of its proper divisors (55827913095).

52563306105 is a wasteful number, since it uses less digits than its factorization.

52563306105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 52563306105 in words is "fifty-two billion, five hundred sixty-three million, three hundred six thousand, one hundred five".