1006456441 has 2 divisors, whose sum is σ = 1006456442. Its totient is φ = 1006456440.

The previous prime is 1006456433. The next prime is 1006456463. The reversal of 1006456441 is 1446546001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 671017216 + 335439225 = 25904^2 + 18315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006456441 - 2³ = 1006456433 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006456541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503228220 + 503228221.

It is an arithmetic number, because the mean of its divisors is an integer number (503228221).

Almost surely, 2^1006456441 is an apocalyptic number.

It is an amenable number.

1006456441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006456441 is an equidigital number, since it uses as much as digits as its factorization.

1006456441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1006456441 is about 31724.6976502535. The cubic root of 1006456441 is about 1002.1475318057.

The spelling of 1006456441 in words is "one billion, six million, four hundred fifty-six thousand, four hundred forty-one".