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54362681 is a prime number
BaseRepresentation
bin1100111101100…
…0001000111001
310210021220120122
43033120020321
5102404101211
65221103025
71230034532
oct317301071
9123256518
1054362681
112876053a
1216257a75
13b355089
147311689
154b8c6db
hex33d8239

54362681 has 2 divisors, whose sum is σ = 54362682. Its totient is φ = 54362680.

The previous prime is 54362669. The next prime is 54362689. The reversal of 54362681 is 18626345.

54362681 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., 50282281 + 4080400 = 7091^2 + 2020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54362681 is a prime.

It is a super-2 number, since 2×543626812 = 5910602171015522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54362689) 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, 27181340 + 27181341.

It is an arithmetic number, because the mean of its divisors is an integer number (27181341).

Almost surely, 254362681 is an apocalyptic number.

It is an amenable number.

54362681 is a deficient number, since it is larger than the sum of its proper divisors (1).

54362681 is an equidigital number, since it uses as much as digits as its factorization.

54362681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 35.

The square root of 54362681 is about 7373.1052481299. The cubic root of 54362681 is about 378.8206301926.

The spelling of 54362681 in words is "fifty-four million, three hundred sixty-two thousand, six hundred eighty-one".