6561518126 has 32 divisors (see below), whose sum is σ = 10081843200. Its totient is φ = 3202156800.

The previous prime is 6561518123. The next prime is 6561518129. The reversal of 6561518126 is 6218151656.

6561518126 = T₇₃₈₈ + T₇₃₈₉ + ... + T₇₆₂₀.

It is an interprime number because it is at equal distance from previous prime (6561518123) and next prime (6561518129).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561518123) 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, 5129555 + ... + 5130833.

It is an arithmetic number, because the mean of its divisors is an integer number (315057600).

Almost surely, 2^6561518126 is an apocalyptic number.

6561518126 is a deficient number, since it is larger than the sum of its proper divisors (3520325074).

6561518126 is a wasteful number, since it uses less digits than its factorization.

6561518126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724.

The product of its digits is 86400, while the sum is 41.

The square root of 6561518126 is about 81003.1982455014. The cubic root of 6561518126 is about 1872.1247190797.

The spelling of 6561518126 in words is "six billion, five hundred sixty-one million, five hundred eighteen thousand, one hundred twenty-six".