Search a number
-
+
58728000257 is a prime number
BaseRepresentation
bin110110101100011101…
…100010101100000001
312121120212002112010122
4312230131202230001
51430233332002012
642551304510025
74146222523433
oct665435425401
9177525075118
1058728000257
11229a7474903
12b46ba7b315
1356cc076c14
142bb1980653
1517dac43e72
hexdac762b01

58728000257 has 2 divisors, whose sum is σ = 58728000258. Its totient is φ = 58728000256.

The previous prime is 58728000229. The next prime is 58728000293. The reversal of 58728000257 is 75200082785.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39121279681 + 19606720576 = 197791^2 + 140024^2 .

It is a cyclic number.

It is not a de Polignac number, because 58728000257 - 212 = 58727996161 is a prime.

It is not a weakly prime, because it can be changed into another prime (58728000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29364000128 + 29364000129.

It is an arithmetic number, because the mean of its divisors is an integer number (29364000129).

Almost surely, 258728000257 is an apocalyptic number.

It is an amenable number.

58728000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

58728000257 is an equidigital number, since it uses as much as digits as its factorization.

58728000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 44.

The spelling of 58728000257 in words is "fifty-eight billion, seven hundred twenty-eight million, two hundred fifty-seven", and thus it is an aban number.