Search a number
-
+
54606509 is a prime number
BaseRepresentation
bin1101000001001…
…1101010101101
310210202022001022
43100103222231
5102434402014
65230223525
71232101436
oct320235255
9123668038
1054606509
1128907751
1216354ba5
13b40c059
14737648d
154bd9a8e
hex3413aad

54606509 has 2 divisors, whose sum is σ = 54606510. Its totient is φ = 54606508.

The previous prime is 54606457. The next prime is 54606511. The reversal of 54606509 is 90560645.

It is a happy number.

54606509 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., 52157284 + 2449225 = 7222^2 + 1565^2 .

It is a cyclic number.

It is not a de Polignac number, because 54606509 - 216 = 54540973 is a prime.

Together with 54606511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54606569) 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, 27303254 + 27303255.

It is an arithmetic number, because the mean of its divisors is an integer number (27303255).

Almost surely, 254606509 is an apocalyptic number.

It is an amenable number.

54606509 is a deficient number, since it is larger than the sum of its proper divisors (1).

54606509 is an equidigital number, since it uses as much as digits as its factorization.

54606509 is an odious number, because the sum of its binary digits is odd.

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

The square root of 54606509 is about 7389.6217088563. The cubic root of 54606509 is about 379.3861488092.

The spelling of 54606509 in words is "fifty-four million, six hundred six thousand, five hundred nine".