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55137637 is a prime number
BaseRepresentation
bin1101001001010…
…1010101100101
310211202021121201
43102111111211
5103103401022
65245442501
71236443062
oct322252545
9124667551
1055137637
112913a7a5
1216570431
13b566a29
147473c69
154c92127
hex3495565

55137637 has 2 divisors, whose sum is σ = 55137638. Its totient is φ = 55137636.

The previous prime is 55137631. The next prime is 55137673. The reversal of 55137637 is 73673155.

It is a happy number.

55137637 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 (55137673) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29746116 + 25391521 = 5454^2 + 5039^2 .

It is a cyclic number.

It is not a de Polignac number, because 55137637 - 23 = 55137629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55137596 and 55137605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55137631) 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, 27568818 + 27568819.

It is an arithmetic number, because the mean of its divisors is an integer number (27568819).

Almost surely, 255137637 is an apocalyptic number.

It is an amenable number.

55137637 is a deficient number, since it is larger than the sum of its proper divisors (1).

55137637 is an equidigital number, since it uses as much as digits as its factorization.

55137637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66150, while the sum is 37.

The square root of 55137637 is about 7425.4721735389. The cubic root of 55137637 is about 380.6122102883.

The spelling of 55137637 in words is "fifty-five million, one hundred thirty-seven thousand, six hundred thirty-seven".