Search a number
-
+
463111032961 is a prime number
BaseRepresentation
bin1101011110100111001…
…00011001000010000001
31122021101000010000200001
412233103210121002001
530041422411023321
6552430020400001
745313215554443
oct6572344310201
91567330100601
10463111032961
1116944a117585
1275906b46001
1334895787325
14185b3cc2493
15c0a7323c91
hex6bd3919081

463111032961 has 2 divisors, whose sum is σ = 463111032962. Its totient is φ = 463111032960.

The previous prime is 463111032959. The next prime is 463111032971. The reversal of 463111032961 is 169230111364.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299050391025 + 164060641936 = 546855^2 + 405044^2 .

It is a cyclic number.

It is not a de Polignac number, because 463111032961 - 21 = 463111032959 is a prime.

Together with 463111032959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 463111032961.

It is not a weakly prime, because it can be changed into another prime (463111032971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231555516480 + 231555516481.

It is an arithmetic number, because the mean of its divisors is an integer number (231555516481).

Almost surely, 2463111032961 is an apocalyptic number.

It is an amenable number.

463111032961 is a deficient number, since it is larger than the sum of its proper divisors (1).

463111032961 is an equidigital number, since it uses as much as digits as its factorization.

463111032961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 463111032961 in words is "four hundred sixty-three billion, one hundred eleven million, thirty-two thousand, nine hundred sixty-one".