Search a number
-
+
258368695853 is a prime number
BaseRepresentation
bin1111000010011111111…
…0010110111000101101
3220200220011021122122112
43300213332112320231
513213114341231403
6314405401453405
724444421451642
oct3604776267055
9820804248575
10258368695853
119a634436314
12420a71a1265
131b496b02b28
14c710051dc9
156ac28929d8
hex3c27f96e2d

258368695853 has 2 divisors, whose sum is σ = 258368695854. Its totient is φ = 258368695852.

The previous prime is 258368695777. The next prime is 258368695867. The reversal of 258368695853 is 358596863852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239877591529 + 18491104324 = 489773^2 + 135982^2 .

It is a cyclic number.

It is not a de Polignac number, because 258368695853 - 220 = 258367647277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258368695873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129184347926 + 129184347927.

It is an arithmetic number, because the mean of its divisors is an integer number (129184347927).

Almost surely, 2258368695853 is an apocalyptic number.

It is an amenable number.

258368695853 is a deficient number, since it is larger than the sum of its proper divisors (1).

258368695853 is an equidigital number, since it uses as much as digits as its factorization.

258368695853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248000, while the sum is 68.

The spelling of 258368695853 in words is "two hundred fifty-eight billion, three hundred sixty-eight million, six hundred ninety-five thousand, eight hundred fifty-three".