56056106000509 has 2 divisors, whose sum is σ = 56056106000510. Its totient is φ = 56056106000508.

The previous prime is 56056106000443. The next prime is 56056106000513. The reversal of 56056106000509 is 90500060165065.

56056106000509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52488257234884 + 3567848765625 = 7244878^2 + 1888875^2 .

It is a cyclic number.

It is not a de Polignac number, because 56056106000509 - 2⁷ = 56056106000381 is a prime.

It is a super-2 number, since 2×56056106000509² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56056106000539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28028053000254 + 28028053000255.

It is an arithmetic number, because the mean of its divisors is an integer number (28028053000255).

Almost surely, 2^{56056106000509} is an apocalyptic number.

It is an amenable number.

56056106000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

56056106000509 is an equidigital number, since it uses as much as digits as its factorization.

56056106000509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 43.

The spelling of 56056106000509 in words is "fifty-six trillion, fifty-six billion, one hundred six million, five hundred nine", and thus it is an aban number.