56000611006001 has 2 divisors, whose sum is σ = 56000611006002. Its totient is φ = 56000611006000.

The previous prime is 56000611005971. The next prime is 56000611006007. The reversal of 56000611006001 is 10060011600065.

56000611006001 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., 55852066283776 + 148544722225 = 7473424^2 + 385415^2 .

It is a cyclic number.

It is not a de Polignac number, because 56000611006001 - 2²² = 56000606811697 is a prime.

It is not a weakly prime, because it can be changed into another prime (56000611006007) 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, 28000305503000 + 28000305503001.

It is an arithmetic number, because the mean of its divisors is an integer number (28000305503001).

Almost surely, 2^{56000611006001} is an apocalyptic number.

It is an amenable number.

56000611006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

56000611006001 is an equidigital number, since it uses as much as digits as its factorization.

56000611006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 56000611006001 its reverse (10060011600065), we get a palindrome (66060622606066).

The spelling of 56000611006001 in words is "fifty-six trillion, six hundred eleven million, six thousand, one".