Search a number
-
+
461506081 is a prime number
BaseRepresentation
bin11011100000100…
…000011000100001
31012011101221022211
4123200200120201
51421121143311
6113443402121
714302510531
oct3340403041
91164357284
10461506081
11217565393
1210a683341
13747c7c2a
14454154c1
152a7b2821
hex1b820621

461506081 has 2 divisors, whose sum is σ = 461506082. Its totient is φ = 461506080.

The previous prime is 461506051. The next prime is 461506091. The reversal of 461506081 is 180605164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248346081 + 213160000 = 15759^2 + 14600^2 .

It is a cyclic number.

It is not a de Polignac number, because 461506081 - 25 = 461506049 is a prime.

It is a super-2 number, since 2×4615060812 = 425975725599957122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (461506051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230753040 + 230753041.

It is an arithmetic number, because the mean of its divisors is an integer number (230753041).

Almost surely, 2461506081 is an apocalyptic number.

It is an amenable number.

461506081 is a deficient number, since it is larger than the sum of its proper divisors (1).

461506081 is an equidigital number, since it uses as much as digits as its factorization.

461506081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 461506081 is about 21482.6925919448. The cubic root of 461506081 is about 772.7858166029.

The spelling of 461506081 in words is "four hundred sixty-one million, five hundred six thousand, eighty-one".