960566013 has 32 divisors (see below), whose sum is σ = 1557540480. Its totient is φ = 580245120.

The previous prime is 960565993. The next prime is 960566017. The reversal of 960566013 is 310665069.

960566013 is a `hidden beast` number, since 96 + 0 + 566 + 0 + 1 + 3 = 666.

960566013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 960566013 - 2⁸ = 960565757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960566017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87795 + ... + 98127.

It is an arithmetic number, because the mean of its divisors is an integer number (48673140).

Almost surely, 2^960566013 is an apocalyptic number.

It is an amenable number.

960566013 is a deficient number, since it is larger than the sum of its proper divisors (596974467).

960566013 is a wasteful number, since it uses less digits than its factorization.

960566013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 960566013 is about 30992.9994192237. Note that the first 3 decimals coincide. The cubic root of 960566013 is about 986.6786677660.

Adding to 960566013 its sum of digits (36), we get a square (960566049 = 30993²).

The spelling of 960566013 in words is "nine hundred sixty million, five hundred sixty-six thousand, thirteen".