966541311 has 12 divisors (see below), whose sum is σ = 1397008080. Its totient is φ = 643948800.

The previous prime is 966541309. The next prime is 966541327. The reversal of 966541311 is 113145669.

It is not a de Polignac number, because 966541311 - 2¹ = 966541309 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966541111) 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, 19131 + ... + 47948.

It is an arithmetic number, because the mean of its divisors is an integer number (116417340).

Almost surely, 2^966541311 is an apocalyptic number.

966541311 is a deficient number, since it is larger than the sum of its proper divisors (430466769).

966541311 is a wasteful number, since it uses less digits than its factorization.

966541311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68686 (or 68683 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 966541311 is about 31089.2475142130. The cubic root of 966541311 is about 988.7203515696.

The spelling of 966541311 in words is "nine hundred sixty-six million, five hundred forty-one thousand, three hundred eleven".