55605013 has 2 divisors, whose sum is σ = 55605014. Its totient is φ = 55605012.

The previous prime is 55604993. The next prime is 55605031. The reversal of 55605013 is 31050655.

55605013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (55605031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54789604 + 815409 = 7402^2 + 903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-55605013 is a prime.

It is a super-3 number, since 3×55605013³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55605073) 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, 27802506 + 27802507.

It is an arithmetic number, because the mean of its divisors is an integer number (27802507).

Almost surely, 2^55605013 is an apocalyptic number.

It is an amenable number.

55605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

55605013 is an equidigital number, since it uses as much as digits as its factorization.

55605013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 55605013 is about 7456.8768931772. The cubic root of 55605013 is about 381.6846098830.

Adding to 55605013 its reverse (31050655), we get a palindrome (86655668).

The spelling of 55605013 in words is "fifty-five million, six hundred five thousand, thirteen".