55505272681 has 2 divisors, whose sum is σ = 55505272682. Its totient is φ = 55505272680.

The previous prime is 55505272643. The next prime is 55505272727. The reversal of 55505272681 is 18627250555.

It is an a-pointer prime, because the next prime (55505272727) can be obtained adding 55505272681 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50104345600 + 5400927081 = 223840^2 + 73491^2 .

It is a cyclic number.

It is not a de Polignac number, because 55505272681 - 2²⁵ = 55471718249 is a prime.

It is a super-2 number, since 2×55505272681² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (55505272481) 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, 27752636340 + 27752636341.

It is an arithmetic number, because the mean of its divisors is an integer number (27752636341).

Almost surely, 2^55505272681 is an apocalyptic number.

It is an amenable number.

55505272681 is a deficient number, since it is larger than the sum of its proper divisors (1).

55505272681 is an equidigital number, since it uses as much as digits as its factorization.

55505272681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 46.

The spelling of 55505272681 in words is "fifty-five billion, five hundred five million, two hundred seventy-two thousand, six hundred eighty-one".