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51628601 is a prime number
BaseRepresentation
bin1100010011110…
…0101000111001
310121011000010102
43010330220321
5101204103401
65042325145
71164556463
oct304745071
9117130112
1051628601
1127163372
12153597b5
13a90878b
146bdd133
1547ec56b
hex313ca39

51628601 has 2 divisors, whose sum is σ = 51628602. Its totient is φ = 51628600.

The previous prime is 51628597. The next prime is 51628627. The reversal of 51628601 is 10682615.

It is a happy number.

51628601 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., 30514576 + 21114025 = 5524^2 + 4595^2 .

It is a cyclic number.

It is not a de Polignac number, because 51628601 - 22 = 51628597 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51628691) 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, 25814300 + 25814301.

It is an arithmetic number, because the mean of its divisors is an integer number (25814301).

Almost surely, 251628601 is an apocalyptic number.

It is an amenable number.

51628601 is a deficient number, since it is larger than the sum of its proper divisors (1).

51628601 is an equidigital number, since it uses as much as digits as its factorization.

51628601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 51628601 is about 7185.3045168594. The cubic root of 51628601 is about 372.3603692689.

The spelling of 51628601 in words is "fifty-one million, six hundred twenty-eight thousand, six hundred one".