6171516561 has 32 divisors (see below), whose sum is σ = 10021920768. Its totient is φ = 3301467840.

The previous prime is 6171516541. The next prime is 6171516581. The reversal of 6171516561 is 1656151716.

It is an interprime number because it is at equal distance from previous prime (6171516541) and next prime (6171516581).

It is not a de Polignac number, because 6171516561 - 2⁶ = 6171516497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6171516541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113230 + ... + 158631.

It is an arithmetic number, because the mean of its divisors is an integer number (313185024).

Almost surely, 2^6171516561 is an apocalyptic number.

It is an amenable number.

6171516561 is a deficient number, since it is larger than the sum of its proper divisors (3850404207).

6171516561 is a wasteful number, since it uses less digits than its factorization.

6171516561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271941.

The product of its digits is 37800, while the sum is 39.

The square root of 6171516561 is about 78559.0005091714. Note that the first 3 decimals coincide. The cubic root of 6171516561 is about 1834.2729697392.

The spelling of 6171516561 in words is "six billion, one hundred seventy-one million, five hundred sixteen thousand, five hundred sixty-one".