Search a number
-
+
257011481 is a prime number
BaseRepresentation
bin11110101000110…
…10111100011001
3122220121112110202
433110122330121
51011243331411
641300351545
76240363416
oct1724327431
9586545422
10257011481
11122092591
12720a55b5
1341328bcc
14261c310d
151786b83b
hexf51af19

257011481 has 2 divisors, whose sum is σ = 257011482. Its totient is φ = 257011480.

The previous prime is 257011451. The next prime is 257011501. The reversal of 257011481 is 184110752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228281881 + 28729600 = 15109^2 + 5360^2 .

It is a cyclic number.

It is not a de Polignac number, because 257011481 - 214 = 256995097 is a prime.

It is a super-2 number, since 2×2570114812 = 132109802731626722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257011451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128505740 + 128505741.

It is an arithmetic number, because the mean of its divisors is an integer number (128505741).

Almost surely, 2257011481 is an apocalyptic number.

It is an amenable number.

257011481 is a deficient number, since it is larger than the sum of its proper divisors (1).

257011481 is an equidigital number, since it uses as much as digits as its factorization.

257011481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 257011481 is about 16031.5776204340. The cubic root of 257011481 is about 635.7955853557.

The spelling of 257011481 in words is "two hundred fifty-seven million, eleven thousand, four hundred eighty-one".