Search a number
-
+
1331512289 is a prime number
BaseRepresentation
bin100111101011101…
…0100001111100001
310102210110211110222
41033113110033201
510211331343124
6340042532425
744665445012
oct11727241741
93383424428
101331512289
11623670988
12311b07115
13182b1c3c3
14c8ba5009
157bd6725e
hex4f5d43e1

1331512289 has 2 divisors, whose sum is σ = 1331512290. Its totient is φ = 1331512288.

The previous prime is 1331512283. The next prime is 1331512313. The reversal of 1331512289 is 9822151331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 716472289 + 615040000 = 26767^2 + 24800^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331512289 - 28 = 1331512033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331512283) 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, 665756144 + 665756145.

It is an arithmetic number, because the mean of its divisors is an integer number (665756145).

Almost surely, 21331512289 is an apocalyptic number.

It is an amenable number.

1331512289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331512289 is an equidigital number, since it uses as much as digits as its factorization.

1331512289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 35.

The square root of 1331512289 is about 36489.8929705199. The cubic root of 1331512289 is about 1100.1411083441.

The spelling of 1331512289 in words is "one billion, three hundred thirty-one million, five hundred twelve thousand, two hundred eighty-nine".