6511101008409 has 6 divisors (see below), whose sum is σ = 9404923678826. Its totient is φ = 4340734005600.

The previous prime is 6511101008389. The next prime is 6511101008413. The reversal of 6511101008409 is 9048001011156.

It is a happy number.

6511101008409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3451848147225 + 3059252861184 = 1857915^2 + 1749072^2 .

It is not a de Polignac number, because 6511101008409 - 2¹² = 6511101004313 is a prime.

It is a super-2 number, since 2×6511101008409² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6511101008479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361727833792 + ... + 361727833809.

Almost surely, 2^{6511101008409} is an apocalyptic number.

It is an amenable number.

6511101008409 is a deficient number, since it is larger than the sum of its proper divisors (2893822670417).

6511101008409 is a wasteful number, since it uses less digits than its factorization.

6511101008409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723455667607 (or 723455667604 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 6511101008409 in words is "six trillion, five hundred eleven billion, one hundred one million, eight thousand, four hundred nine".