Search a number
-
+
258101773 is a prime number
BaseRepresentation
bin11110110001001…
…01001000001101
3122222122221001221
433120211020031
51012033224043
641340003341
76252554206
oct1730451015
9588587057
10258101773
11122767756
1272530551
134161b257
14263c85ad
15179d48ed
hexf62520d

258101773 has 2 divisors, whose sum is σ = 258101774. Its totient is φ = 258101772.

The previous prime is 258101747. The next prime is 258101807. The reversal of 258101773 is 377101852.

It is an a-pointer prime, because the next prime (258101807) can be obtained adding 258101773 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178142409 + 79959364 = 13347^2 + 8942^2 .

It is a cyclic number.

It is not a de Polignac number, because 258101773 - 221 = 256004621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258101743) 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, 129050886 + 129050887.

It is an arithmetic number, because the mean of its divisors is an integer number (129050887).

Almost surely, 2258101773 is an apocalyptic number.

It is an amenable number.

258101773 is a deficient number, since it is larger than the sum of its proper divisors (1).

258101773 is an equidigital number, since it uses as much as digits as its factorization.

258101773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 258101773 is about 16065.5461469568. The cubic root of 258101773 is about 636.6933726299.

The spelling of 258101773 in words is "two hundred fifty-eight million, one hundred one thousand, seven hundred seventy-three".