Search a number
-
+
257578471589 is a prime number
BaseRepresentation
bin1110111111100011011…
…1111001000010100101
3220121212002100002202012
43233320313321002211
513210010042042324
6314155132324005
724416014612055
oct3577067710245
9817762302665
10257578471589
119a26937210a
1241b06613605
131b39c1936ca
14c67710d565
156a782ec20e
hex3bf8df90a5

257578471589 has 2 divisors, whose sum is σ = 257578471590. Its totient is φ = 257578471588.

The previous prime is 257578471571. The next prime is 257578471679. The reversal of 257578471589 is 985174875752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212913030625 + 44665440964 = 461425^2 + 211342^2 .

It is a cyclic number.

It is not a de Polignac number, because 257578471589 - 216 = 257578406053 is a prime.

It is a super-2 number, since 2×2575784715892 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257578471529) 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, 128789235794 + 128789235795.

It is an arithmetic number, because the mean of its divisors is an integer number (128789235795).

Almost surely, 2257578471589 is an apocalyptic number.

It is an amenable number.

257578471589 is a deficient number, since it is larger than the sum of its proper divisors (1).

257578471589 is an equidigital number, since it uses as much as digits as its factorization.

257578471589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 197568000, while the sum is 68.

The spelling of 257578471589 in words is "two hundred fifty-seven billion, five hundred seventy-eight million, four hundred seventy-one thousand, five hundred eighty-nine".