412688105653 has 2 divisors, whose sum is σ = 412688105654. Its totient is φ = 412688105652.

The previous prime is 412688105579. The next prime is 412688105659. The reversal of 412688105653 is 356501886214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376949337444 + 35738768209 = 613962^2 + 189047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-412688105653 is a prime.

It is a super-2 number, since 2×412688105653² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412688105597 and 412688105606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412688105659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206344052826 + 206344052827.

It is an arithmetic number, because the mean of its divisors is an integer number (206344052827).

Almost surely, 2^412688105653 is an apocalyptic number.

It is an amenable number.

412688105653 is a deficient number, since it is larger than the sum of its proper divisors (1).

412688105653 is an equidigital number, since it uses as much as digits as its factorization.

412688105653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 412688105653 in words is "four hundred twelve billion, six hundred eighty-eight million, one hundred five thousand, six hundred fifty-three".