6561486009 has 81 divisors (see below), whose sum is σ = 10765215279. Its totient is φ = 3849262560.

The previous prime is 6561485981. The next prime is 6561486037. The reversal of 6561486009 is 9006841656.

6561486009 = 1³ + 2³ + ... + 402³.

The square root of 6561486009 is 81003.

It is a perfect power (a square), and thus also a powerful number.

6561486009 is a `hidden beast` number, since 6 + 561 + 4 + 86 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (6561485981) and next prime (6561486037).

It can be written as a sum of positive squares in only one way, i.e., 970634025 + 5590851984 = 31155^2 + 74772^2 .

It is not a de Polignac number, because 6561486009 - 2¹⁹ = 6560961721 is a prime.

It is a super-3 number, since 3×6561486009³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6561486059) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 97932594 + ... + 97932660.

Almost surely, 2^6561486009 is an apocalyptic number.

6561486009 is the 81003-rd square number.

6561486009 is the 40502-nd centered octagonal number.

It is an amenable number.

6561486009 is a deficient number, since it is larger than the sum of its proper divisors (4203729270).

6561486009 is a wasteful number, since it uses less digits than its factorization.

6561486009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 6561486009 is about 1872.1216645463.

The spelling of 6561486009 in words is "six billion, five hundred sixty-one million, four hundred eighty-six thousand, nine".