1006412549 has 18 divisors (see below), whose sum is σ = 1073728530. Its totient is φ = 942182976.

The previous prime is 1006412507. The next prime is 1006412573. The reversal of 1006412549 is 9452146001.

It can be written as a sum of positive squares in 3 ways, for example, as 225210049 + 781202500 = 15007^2 + 27950^2 .

It is not a de Polignac number, because 1006412549 - 2¹² = 1006408453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006412579) 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 in 17 ways as a sum of consecutive naturals, for example, 7346009 + ... + 7346145.

It is an arithmetic number, because the mean of its divisors is an integer number (59651585).

Almost surely, 2^1006412549 is an apocalyptic number.

It is an amenable number.

1006412549 is a deficient number, since it is larger than the sum of its proper divisors (67315981).

1006412549 is an frugal number, since it uses more digits than its factorization.

1006412549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1006412549 is about 31724.0058788294. The cubic root of 1006412549 is about 1002.1329635651.

The spelling of 1006412549 in words is "one billion, six million, four hundred twelve thousand, five hundred forty-nine".