8382838513 has 48 divisors (see below), whose sum is σ = 10669579200. Its totient is φ = 6540912000.

The previous prime is 8382838493. The next prime is 8382838523. The reversal of 8382838513 is 3158382838.

It is a happy number.

It is not a de Polignac number, because 8382838513 - 2⁵ = 8382838481 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8382838523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6776131 + ... + 6777367.

It is an arithmetic number, because the mean of its divisors is an integer number (222282900).

Almost surely, 2^8382838513 is an apocalyptic number.

It is an amenable number.

8382838513 is a deficient number, since it is larger than the sum of its proper divisors (2286740687).

8382838513 is a wasteful number, since it uses less digits than its factorization.

8382838513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1543 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The square root of 8382838513 is about 91557.8424439982. The cubic root of 8382838513 is about 2031.4074148074.

The spelling of 8382838513 in words is "eight billion, three hundred eighty-two million, eight hundred thirty-eight thousand, five hundred thirteen".