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51523313 is a prime number
BaseRepresentation
bin1100010010001…
…0111011110001
310120221122200212
43010202323301
5101142221223
65040153505
71163640512
oct304427361
9116848625
1051523313
11270a1256
1215308895
13a89c88a
146bb2a09
1547cb278
hex3122ef1

51523313 has 2 divisors, whose sum is σ = 51523314. Its totient is φ = 51523312.

The previous prime is 51523309. The next prime is 51523337. The reversal of 51523313 is 31332515.

51523313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45535504 + 5987809 = 6748^2 + 2447^2 .

It is a cyclic number.

It is not a de Polignac number, because 51523313 - 22 = 51523309 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51523363) 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, 25761656 + 25761657.

It is an arithmetic number, because the mean of its divisors is an integer number (25761657).

Almost surely, 251523313 is an apocalyptic number.

It is an amenable number.

51523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

51523313 is an equidigital number, since it uses as much as digits as its factorization.

51523313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1350, while the sum is 23.

The square root of 51523313 is about 7177.9741571003. The cubic root of 51523313 is about 372.1070745266.

Adding to 51523313 its reverse (31332515), we get a palindrome (82855828).

The spelling of 51523313 in words is "fifty-one million, five hundred twenty-three thousand, three hundred thirteen".