6443513505 has 48 divisors (see below), whose sum is σ = 13121349696. Its totient is φ = 2883807360.

The previous prime is 6443513467. The next prime is 6443513507. The reversal of 6443513505 is 5053153446.

6443513505 is a `hidden beast` number, since 64 + 43 + 51 + 3 + 505 = 666.

It is not a de Polignac number, because 6443513505 - 2⁸ = 6443513249 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6443513505.

It is not an unprimeable number, because it can be changed into a prime (6443513507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494227 + ... + 507096.

It is an arithmetic number, because the mean of its divisors is an integer number (273361452).

Almost surely, 2^6443513505 is an apocalyptic number.

6443513505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6443513505 is an abundant number, since it is smaller than the sum of its proper divisors (6677836191).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6443513505 is a wasteful number, since it uses less digits than its factorization.

6443513505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001358 (or 1001355 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 6443513505 is about 80271.4987090686. The cubic root of 6443513505 is about 1860.8337789797.

The spelling of 6443513505 in words is "six billion, four hundred forty-three million, five hundred thirteen thousand, five hundred five".