Search a number
-
+
461202754561 is a prime number
BaseRepresentation
bin1101011011000011101…
…00111000110000000001
31122002110000100102211021
412231201310320300001
530024020401121221
6551512411345441
745215014505533
oct6554164706001
91562400312737
10461202754561
1116865aa2779a
1275473a52281
1334650315703
14184726a1853
15bee4a2d041
hex6b61d38c01

461202754561 has 2 divisors, whose sum is σ = 461202754562. Its totient is φ = 461202754560.

The previous prime is 461202754559. The next prime is 461202754567. The reversal of 461202754561 is 165457202164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 444547561536 + 16655193025 = 666744^2 + 129055^2 .

It is a cyclic number.

It is not a de Polignac number, because 461202754561 - 21 = 461202754559 is a prime.

Together with 461202754559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (461202754567) 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, 230601377280 + 230601377281.

It is an arithmetic number, because the mean of its divisors is an integer number (230601377281).

Almost surely, 2461202754561 is an apocalyptic number.

It is an amenable number.

461202754561 is a deficient number, since it is larger than the sum of its proper divisors (1).

461202754561 is an equidigital number, since it uses as much as digits as its factorization.

461202754561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 461202754561 in words is "four hundred sixty-one billion, two hundred two million, seven hundred fifty-four thousand, five hundred sixty-one".