Search a number
-
+
54512509 is a prime number
BaseRepresentation
bin1100111111110…
…0101101111101
310210120112002211
43033330231331
5102423400014
65224220421
71231230412
oct317745575
9123515084
1054512509
1128853067
121630a711
13b3a832c
147350109
154bbbcc4
hex33fcb7d

54512509 has 2 divisors, whose sum is σ = 54512510. Its totient is φ = 54512508.

The previous prime is 54512453. The next prime is 54512537. The reversal of 54512509 is 90521545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48372025 + 6140484 = 6955^2 + 2478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54512509 is a prime.

It is a super-2 number, since 2×545125092 = 5943227274950162, which contains 22 as substring.

It is equal to p3254845 and since 54512509 and 3254845 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54512209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27256254 + 27256255.

It is an arithmetic number, because the mean of its divisors is an integer number (27256255).

Almost surely, 254512509 is an apocalyptic number.

It is an amenable number.

54512509 is a deficient number, since it is larger than the sum of its proper divisors (1).

54512509 is an equidigital number, since it uses as much as digits as its factorization.

54512509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 54512509 is about 7383.2586978921. The cubic root of 54512509 is about 379.1683311819.

The spelling of 54512509 in words is "fifty-four million, five hundred twelve thousand, five hundred nine".