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51527137 is a prime number
BaseRepresentation
bin1100010010001…
…1110111100001
310120221211221111
43010203313201
5101142332022
65040223321
71163654614
oct304436741
9116854844
1051527137
11270a4112
121530ab41
13a8a153c
146bb417b
1547cc477
hex3123de1

51527137 has 2 divisors, whose sum is σ = 51527138. Its totient is φ = 51527136.

The previous prime is 51527131. The next prime is 51527143. The reversal of 51527137 is 73172515.

51527137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (51527131) and next prime (51527143).

It can be written as a sum of positive squares in only one way, i.e., 49688401 + 1838736 = 7049^2 + 1356^2 .

It is a cyclic number.

It is not a de Polignac number, because 51527137 - 23 = 51527129 is a prime.

It is a super-3 number, since 3×515271373 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 51527099 and 51527108.

It is not a weakly prime, because it can be changed into another prime (51527131) 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, 25763568 + 25763569.

It is an arithmetic number, because the mean of its divisors is an integer number (25763569).

Almost surely, 251527137 is an apocalyptic number.

It is an amenable number.

51527137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51527137 is an equidigital number, since it uses as much as digits as its factorization.

51527137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7350, while the sum is 31.

The square root of 51527137 is about 7178.2405225793. The cubic root of 51527137 is about 372.1162800828.

The spelling of 51527137 in words is "fifty-one million, five hundred twenty-seven thousand, one hundred thirty-seven".