53966313 has 24 divisors (see below), whose sum is σ = 84776328. Its totient is φ = 32942592.

The previous prime is 53966281. The next prime is 53966321. The reversal of 53966313 is 31366935.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 37417689 = 4068^2 + 6117^2 .

It is not a de Polignac number, because 53966313 - 2⁵ = 53966281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53966383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895 + ... + 10427.

It is an arithmetic number, because the mean of its divisors is an integer number (3532347).

Almost surely, 2^53966313 is an apocalyptic number.

It is an amenable number.

53966313 is a deficient number, since it is larger than the sum of its proper divisors (30810015).

53966313 is a wasteful number, since it uses less digits than its factorization.

53966313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9590 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 53966313 is about 7346.1767607375. The cubic root of 53966313 is about 377.8977005439.

The spelling of 53966313 in words is "fifty-three million, nine hundred sixty-six thousand, three hundred thirteen".