1006511643 has 16 divisors (see below), whose sum is σ = 1569609600. Its totient is φ = 635691240.

The previous prime is 1006511641. The next prime is 1006511647. The reversal of 1006511643 is 3461156001.

1006511643 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 11 + 643 = 666.

It is not a de Polignac number, because 1006511643 - 2¹ = 1006511641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006511641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980493 + ... + 981518.

It is an arithmetic number, because the mean of its divisors is an integer number (98100600).

Almost surely, 2^1006511643 is an apocalyptic number.

1006511643 is a deficient number, since it is larger than the sum of its proper divisors (563097957).

1006511643 is a wasteful number, since it uses less digits than its factorization.

1006511643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962039 (or 1962033 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006511643 is about 31725.5676544960. The cubic root of 1006511643 is about 1002.1658533593.

Adding to 1006511643 its reverse (3461156001), we get a palindrome (4467667644).

The spelling of 1006511643 in words is "one billion, six million, five hundred eleven thousand, six hundred forty-three".