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51604121 is a prime number
BaseRepresentation
bin1100010011011…
…0101010011001
310121002202112202
43010312222121
5101202312441
65042015545
71164425222
oct304665231
9117082482
1051604121
1127146a38
12153475b5
13a8ca5aa
146bd4249
1547e519b
hex3136a99

51604121 has 2 divisors, whose sum is σ = 51604122. Its totient is φ = 51604120.

The previous prime is 51604103. The next prime is 51604123. The reversal of 51604121 is 12140615.

51604121 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., 41744521 + 9859600 = 6461^2 + 3140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51604121 is a prime.

Together with 51604123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51604093 and 51604102.

It is not a weakly prime, because it can be changed into another prime (51604123) 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, 25802060 + 25802061.

It is an arithmetic number, because the mean of its divisors is an integer number (25802061).

Almost surely, 251604121 is an apocalyptic number.

It is an amenable number.

51604121 is a deficient number, since it is larger than the sum of its proper divisors (1).

51604121 is an equidigital number, since it uses as much as digits as its factorization.

51604121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 51604121 is about 7183.6008380199. The cubic root of 51604121 is about 372.3015076900.

Adding to 51604121 its reverse (12140615), we get a palindrome (63744736).

The spelling of 51604121 in words is "fifty-one million, six hundred four thousand, one hundred twenty-one".