6416820513 has 8 divisors (see below), whose sum is σ = 9506400800. Its totient is φ = 4277880324.

The previous prime is 6416820499. The next prime is 6416820539. The reversal of 6416820513 is 3150286146.

It is a happy number.

6416820513 is a `hidden beast` number, since 64 + 1 + 6 + 82 + 0 + 513 = 666.

It is not a de Polignac number, because 6416820513 - 2⁵ = 6416820481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6416820313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118829983 + ... + 118830036.

It is an arithmetic number, because the mean of its divisors is an integer number (1188300100).

Almost surely, 2^6416820513 is an apocalyptic number.

It is an amenable number.

6416820513 is a deficient number, since it is larger than the sum of its proper divisors (3089580287).

6416820513 is a wasteful number, since it uses less digits than its factorization.

6416820513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237660028 (or 237660022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6416820513 is about 80105.0592222489. The cubic root of 6416820513 is about 1858.2606502562.

It can be divided in two parts, 64168 and 20513, that added together give a square (84681 = 291²).

The spelling of 6416820513 in words is "six billion, four hundred sixteen million, eight hundred twenty thousand, five hundred thirteen".