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54145331 is a prime number
BaseRepresentation
bin1100111010001…
…1000100110011
310202212212102122
43032203010303
5102330122311
65212304455
71225141052
oct316430463
9122785378
1054145331
1128622209
121617212b
13b2aa176
147296399
154b480db
hex33a3133

54145331 has 2 divisors, whose sum is σ = 54145332. Its totient is φ = 54145330.

The previous prime is 54145321. The next prime is 54145337. The reversal of 54145331 is 13354145.

54145331 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 is a cyclic number.

It is not a de Polignac number, because 54145331 - 218 = 53883187 is a prime.

It is a super-2 number, since 2×541453312 = 5863433738199122, which contains 22 as substring.

It is a Chen prime.

It is equal to p3234365 and since 54145331 and 3234365 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54145331.

It is not a weakly prime, because it can be changed into another prime (54145337) 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, 27072665 + 27072666.

It is an arithmetic number, because the mean of its divisors is an integer number (27072666).

Almost surely, 254145331 is an apocalyptic number.

54145331 is a deficient number, since it is larger than the sum of its proper divisors (1).

54145331 is an equidigital number, since it uses as much as digits as its factorization.

54145331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 26.

The square root of 54145331 is about 7358.3511060563. The cubic root of 54145331 is about 378.3150956469.

Adding to 54145331 its reverse (13354145), we get a palindrome (67499476).

The spelling of 54145331 in words is "fifty-four million, one hundred forty-five thousand, three hundred thirty-one".