964584513 has 6 divisors (see below), whose sum is σ = 1393288754. Its totient is φ = 643056336.

The previous prime is 964584503. The next prime is 964584559. The reversal of 964584513 is 315485469.

964584513 is a `hidden beast` number, since 9 + 64 + 584 + 5 + 1 + 3 = 666.

964584513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 819791424 + 144793089 = 28632^2 + 12033^2 .

It is not a de Polignac number, because 964584513 - 2⁴ = 964584497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964584503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53588020 + ... + 53588037.

Almost surely, 2^964584513 is an apocalyptic number.

It is an amenable number.

964584513 is a deficient number, since it is larger than the sum of its proper divisors (428704241).

964584513 is a wasteful number, since it uses less digits than its factorization.

964584513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107176063 (or 107176060 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 964584513 is about 31057.7609141419. The cubic root of 964584513 is about 988.0526673586.

The spelling of 964584513 in words is "nine hundred sixty-four million, five hundred eighty-four thousand, five hundred thirteen".