1006262641 has 16 divisors (see below), whose sum is σ = 1037491200. Its totient is φ = 975618000.

The previous prime is 1006262599. The next prime is 1006262659. The reversal of 1006262641 is 1462626001.

It is a cyclic number.

It is not a de Polignac number, because 1006262641 - 2⁷ = 1006262513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006263641) 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, 1594396 + ... + 1595026.

It is an arithmetic number, because the mean of its divisors is an integer number (64843200).

Almost surely, 2^1006262641 is an apocalyptic number.

It is an amenable number.

1006262641 is a deficient number, since it is larger than the sum of its proper divisors (31228559).

1006262641 is a wasteful number, since it uses less digits than its factorization.

1006262641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1006262641 is about 31721.6431005709. The cubic root of 1006262641 is about 1002.0832042465.

Adding to 1006262641 its reverse (1462626001), we get a palindrome (2468888642).

The spelling of 1006262641 in words is "one billion, six million, two hundred sixty-two thousand, six hundred forty-one".