Search a number
-
+
59135309 is a prime number
BaseRepresentation
bin1110000110010…
…1010101001101
311010021101101122
43201211111031
5110114312214
65511250325
71315433102
oct341452515
9133241348
1059135309
1130420262
12179799a5
13c33650c
147bd4aa9
1552d188e
hex386554d

59135309 has 2 divisors, whose sum is σ = 59135310. Its totient is φ = 59135308.

The previous prime is 59135303. The next prime is 59135317. The reversal of 59135309 is 90353195.

59135309 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., 31866025 + 27269284 = 5645^2 + 5222^2 .

It is a cyclic number.

It is not a de Polignac number, because 59135309 - 224 = 42358093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59135303) 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, 29567654 + 29567655.

It is an arithmetic number, because the mean of its divisors is an integer number (29567655).

Almost surely, 259135309 is an apocalyptic number.

It is an amenable number.

59135309 is a deficient number, since it is larger than the sum of its proper divisors (1).

59135309 is an equidigital number, since it uses as much as digits as its factorization.

59135309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18225, while the sum is 35.

The square root of 59135309 is about 7689.9485693989. The cubic root of 59135309 is about 389.5970174520.

The spelling of 59135309 in words is "fifty-nine million, one hundred thirty-five thousand, three hundred nine".