10671509809 has 9 divisors (see below), whose sum is σ = 11264801067. Its totient is φ = 10107991944.

The previous prime is 10671509759. The next prime is 10671509833. The reversal of 10671509809 is 90890517601.

It is a happy number.

The square root of 10671509809 is 103303.

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

It can be written as a sum of positive squares in only one way, i.e., 6024088225 + 4647421584 = 77615^2 + 68172^2 .

It is not a de Polignac number, because 10671509809 - 2¹¹ = 10671507761 is a prime.

It is a super-2 number, since 2×10671509809² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10671509869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1960039 + ... + 1965475.

It is an arithmetic number, because the mean of its divisors is an integer number (1251644563).

Almost surely, 2^10671509809 is an apocalyptic number.

10671509809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10671509809 is the 103303-rd square number.

10671509809 is the 51652-nd centered octagonal number.

It is an amenable number.

10671509809 is a deficient number, since it is larger than the sum of its proper divisors (593291258).

10671509809 is an frugal number, since it uses more digits than its factorization.

10671509809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10671509809 in words is "ten billion, six hundred seventy-one million, five hundred nine thousand, eight hundred nine".