1006541963 has 12 divisors (see below), whose sum is σ = 1160706768. Its totient is φ = 855039360.

The previous prime is 1006541953. The next prime is 1006541971. The reversal of 1006541963 is 3691456001.

It is not a de Polignac number, because 1006541963 - 2¹⁸ = 1006279819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006541903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83753 + ... + 95013.

It is an arithmetic number, because the mean of its divisors is an integer number (96725564).

Almost surely, 2^1006541963 is an apocalyptic number.

1006541963 is a deficient number, since it is larger than the sum of its proper divisors (154164805).

1006541963 is an equidigital number, since it uses as much as digits as its factorization.

1006541963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11494 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 1006541963 is about 31726.0454989272. The cubic root of 1006541963 is about 1002.1759162876.

Adding to 1006541963 its reverse (3691456001), we get a palindrome (4697997964).

The spelling of 1006541963 in words is "one billion, six million, five hundred forty-one thousand, nine hundred sixty-three".