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54356129 is a prime number
BaseRepresentation
bin1100111101011…
…0100010100001
310210021120120222
43033112202201
5102403344004
65221012425
71230006452
oct317264241
9123246528
1054356129
1128756623
1216254115
13b3520b9
14730d129
154b8a7be
hex33d68a1

54356129 has 2 divisors, whose sum is σ = 54356130. Its totient is φ = 54356128.

The previous prime is 54356101. The next prime is 54356143. The reversal of 54356129 is 92165345.

54356129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40666129 + 13690000 = 6377^2 + 3700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54356129 is a prime.

It is not a weakly prime, because it can be changed into another prime (54356149) 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, 27178064 + 27178065.

It is an arithmetic number, because the mean of its divisors is an integer number (27178065).

Almost surely, 254356129 is an apocalyptic number.

It is an amenable number.

54356129 is a deficient number, since it is larger than the sum of its proper divisors (1).

54356129 is an equidigital number, since it uses as much as digits as its factorization.

54356129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 35.

The square root of 54356129 is about 7372.6609171994. The cubic root of 54356129 is about 378.8054106066.

The spelling of 54356129 in words is "fifty-four million, three hundred fifty-six thousand, one hundred twenty-nine".