Search a number
-
+
257895978853 is a prime number
BaseRepresentation
bin1111000000101111001…
…1000101011101100101
3220122200012210010211111
43300023303011131211
513211132332310403
6314250433505021
724426621436162
oct3601363053545
9818605703744
10257895978853
119a411614007
1241b94a12171
131b41cbb1126
14c6a735d069
156a9611856d
hex3c0bcc5765

257895978853 has 2 divisors, whose sum is σ = 257895978854. Its totient is φ = 257895978852.

The previous prime is 257895978841. The next prime is 257895978929. The reversal of 257895978853 is 358879598752.

It is an a-pointer prime, because the next prime (257895978929) can be obtained adding 257895978853 to its sum of digits (76).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189567064449 + 68328914404 = 435393^2 + 261398^2 .

It is a cyclic number.

It is not a de Polignac number, because 257895978853 - 233 = 249306044261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257895978853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257895978953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128947989426 + 128947989427.

It is an arithmetic number, because the mean of its divisors is an integer number (128947989427).

Almost surely, 2257895978853 is an apocalyptic number.

It is an amenable number.

257895978853 is a deficient number, since it is larger than the sum of its proper divisors (1).

257895978853 is an equidigital number, since it uses as much as digits as its factorization.

257895978853 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1524096000, while the sum is 76.

The spelling of 257895978853 in words is "two hundred fifty-seven billion, eight hundred ninety-five million, nine hundred seventy-eight thousand, eight hundred fifty-three".