Search a number
-
+
55057133 is a prime number
BaseRepresentation
bin1101001000000…
…1101011101101
310211121012012002
43102001223231
5103043312013
65244022045
71235656265
oct322015355
9124535162
1055057133
112909526a
1216531925
13b5391b1
1474527a5
154c78358
hex3481aed

55057133 has 2 divisors, whose sum is σ = 55057134. Its totient is φ = 55057132.

The previous prime is 55057129. The next prime is 55057153. The reversal of 55057133 is 33175055.

55057133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41822089 + 13235044 = 6467^2 + 3638^2 .

It is a cyclic number.

It is not a de Polignac number, because 55057133 - 22 = 55057129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55057096 and 55057105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55057153) 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, 27528566 + 27528567.

It is an arithmetic number, because the mean of its divisors is an integer number (27528567).

Almost surely, 255057133 is an apocalyptic number.

It is an amenable number.

55057133 is a deficient number, since it is larger than the sum of its proper divisors (1).

55057133 is an equidigital number, since it uses as much as digits as its factorization.

55057133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 55057133 is about 7420.0493933666. The cubic root of 55057133 is about 380.4268817688.

The spelling of 55057133 in words is "fifty-five million, fifty-seven thousand, one hundred thirty-three".