1456006009 has 2 divisors, whose sum is σ = 1456006010. Its totient is φ = 1456006008.

The previous prime is 1456005989. The next prime is 1456006117. The reversal of 1456006009 is 9006006541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1287733225 + 168272784 = 35885^2 + 12972^2 .

It is a cyclic number.

It is not a de Polignac number, because 1456006009 - 2¹¹ = 1456003961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1456006609) 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, 728003004 + 728003005.

It is an arithmetic number, because the mean of its divisors is an integer number (728003005).

Almost surely, 2^1456006009 is an apocalyptic number.

It is an amenable number.

1456006009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1456006009 is an equidigital number, since it uses as much as digits as its factorization.

1456006009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1456006009 is about 38157.6467958914. The cubic root of 1456006009 is about 1133.4117808348.

The spelling of 1456006009 in words is "one billion, four hundred fifty-six million, six thousand, nine".