Search a number
-
+
255508579873 is a prime number
BaseRepresentation
bin1110110111110101111…
…1111000011000100001
3220102111211110201010001
43231331133320120201
513141240144023443
6313213511340001
724313512044251
oct3557537703041
9812454421101
10255508579873
11993a6a288a8
1241629381601
131b12c3b7c01
14c51c25d961
1569a6730d4d
hex3b7d7f8621

255508579873 has 2 divisors, whose sum is σ = 255508579874. Its totient is φ = 255508579872.

The previous prime is 255508579849. The next prime is 255508579891. The reversal of 255508579873 is 378975805552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241191978769 + 14316601104 = 491113^2 + 119652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-255508579873 is a prime.

It is a super-2 number, since 2×2555085798732 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (255508579273) 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, 127754289936 + 127754289937.

It is an arithmetic number, because the mean of its divisors is an integer number (127754289937).

Almost surely, 2255508579873 is an apocalyptic number.

It is an amenable number.

255508579873 is a deficient number, since it is larger than the sum of its proper divisors (1).

255508579873 is an equidigital number, since it uses as much as digits as its factorization.

255508579873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840000, while the sum is 64.

The spelling of 255508579873 in words is "two hundred fifty-five billion, five hundred eight million, five hundred seventy-nine thousand, eight hundred seventy-three".