6029465517009 has 135 divisors (see below), whose sum is σ = 10524070247691. Its totient is φ = 3436910040960.

The previous prime is 6029465516959. The next prime is 6029465517037. The reversal of 6029465517009 is 9007155649206.

The square root of 6029465517009 is 2455497.

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

6029465517009 is a `hidden beast` number, since 6 + 0 + 2 + 9 + 465 + 5 + 170 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4694220558225 + 1335244958784 = 2166615^2 + 1155528^2 .

It is not a de Polignac number, because 6029465517009 - 2²¹ = 6029463419857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6029465517409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4132600722 + ... + 4132602180.

Almost surely, 2^{6029465517009} is an apocalyptic number.

6029465517009 is the 2455497-th square number.

6029465517009 is the 1227749-th centered octagonal number.

It is an amenable number.

6029465517009 is a deficient number, since it is larger than the sum of its proper divisors (4494604730682).

6029465517009 is an equidigital number, since it uses as much as digits as its factorization.

6029465517009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 6029465517009 in words is "six trillion, twenty-nine billion, four hundred sixty-five million, five hundred seventeen thousand, nine".