6461532513 has 16 divisors (see below), whose sum is σ = 9626126400. Its totient is φ = 4283619840.

The previous prime is 6461532479. The next prime is 6461532551. The reversal of 6461532513 is 3152351646.

6461532513 is a `hidden beast` number, since 6 + 4 + 615 + 3 + 25 + 13 = 666.

6461532513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6461532513 - 2⁶ = 6461532449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6461532313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663648 + ... + 673313.

It is an arithmetic number, because the mean of its divisors is an integer number (601632900).

Almost surely, 2^6461532513 is an apocalyptic number.

It is an amenable number.

6461532513 is a deficient number, since it is larger than the sum of its proper divisors (3164593887).

6461532513 is a wasteful number, since it uses less digits than its factorization.

6461532513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337149 (or 1337143 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 6461532513 is about 80383.6582459395. The cubic root of 6461532513 is about 1862.5667450999.

The spelling of 6461532513 in words is "six billion, four hundred sixty-one million, five hundred thirty-two thousand, five hundred thirteen".