6509481615 has 96 divisors (see below), whose sum is σ = 13938777216. Its totient is φ = 2736599040.

The previous prime is 6509481557. The next prime is 6509481619. The reversal of 6509481615 is 5161849056.

6509481615 is a `hidden beast` number, since 6 + 509 + 4 + 81 + 61 + 5 = 666.

It is not a de Polignac number, because 6509481615 - 2⁷ = 6509481487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509481619) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1147867 + ... + 1153523.

It is an arithmetic number, because the mean of its divisors is an integer number (145195596).

Almost surely, 2^6509481615 is an apocalyptic number.

6509481615 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6509481615 is an abundant number, since it is smaller than the sum of its proper divisors (7429295601).

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

6509481615 is a wasteful number, since it uses less digits than its factorization.

6509481615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 6509481615 is about 80681.3585346702. The cubic root of 6509481615 is about 1867.1625794259.

The spelling of 6509481615 in words is "six billion, five hundred nine million, four hundred eighty-one thousand, six hundred fifteen".