10511406509 has 16 divisors (see below), whose sum is σ = 10898551296. Its totient is φ = 10131408000.

The previous prime is 10511406481. The next prime is 10511406559. The reversal of 10511406509 is 90560411501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10511406509 is a prime.

It is a super-2 number, since 2×10511406509² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511406559) 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, 5528459 + ... + 5530359.

It is an arithmetic number, because the mean of its divisors is an integer number (681159456).

Almost surely, 2^10511406509 is an apocalyptic number.

It is an amenable number.

10511406509 is a deficient number, since it is larger than the sum of its proper divisors (387144787).

10511406509 is a wasteful number, since it uses less digits than its factorization.

10511406509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 10511406509 in words is "ten billion, five hundred eleven million, four hundred six thousand, five hundred nine".