56005010506101 has 16 divisors (see below), whose sum is σ = 77920805988864. Its totient is φ = 35712977320944.

The previous prime is 56005010506057. The next prime is 56005010506103. The reversal of 56005010506101 is 10160501050065.

It is not a de Polignac number, because 56005010506101 - 2⁷ = 56005010505973 is a prime.

It is a super-2 number, since 2×56005010506101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005010506103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805130 + ... + 10948916.

It is an arithmetic number, because the mean of its divisors is an integer number (4870050374304).

Almost surely, 2^{56005010506101} is an apocalyptic number.

It is an amenable number.

56005010506101 is a deficient number, since it is larger than the sum of its proper divisors (21915795482763).

56005010506101 is a wasteful number, since it uses less digits than its factorization.

56005010506101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243480.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 56005010506101 its reverse (10160501050065), we get a palindrome (66165511556166).

The spelling of 56005010506101 in words is "fifty-six trillion, five billion, ten million, five hundred six thousand, one hundred one".