Search a number
-
+
251268481 is a prime number
BaseRepresentation
bin11101111101000…
…00110110000001
3122111210202120001
432332200312001
51003311042411
640533320001
76140514112
oct1676406601
9574722501
10251268481
1111991a802
1270196001
1340097b99
142552a209
15170d4dc1
hexefa0d81

251268481 has 2 divisors, whose sum is σ = 251268482. Its totient is φ = 251268480.

The previous prime is 251268463. The next prime is 251268497. The reversal of 251268481 is 184862152.

251268481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164480625 + 86787856 = 12825^2 + 9316^2 .

It is a cyclic number.

It is not a de Polignac number, because 251268481 - 223 = 242879873 is a prime.

It is a super-2 number, since 2×2512684812 = 126271699088094722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251268481.

It is not a weakly prime, because it can be changed into another prime (251268581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125634240 + 125634241.

It is an arithmetic number, because the mean of its divisors is an integer number (125634241).

Almost surely, 2251268481 is an apocalyptic number.

It is an amenable number.

251268481 is a deficient number, since it is larger than the sum of its proper divisors (1).

251268481 is an equidigital number, since it uses as much as digits as its factorization.

251268481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30720, while the sum is 37.

The square root of 251268481 is about 15851.4504383668. The cubic root of 251268481 is about 631.0241852690.

The spelling of 251268481 in words is "two hundred fifty-one million, two hundred sixty-eight thousand, four hundred eighty-one".