10509585200809 has 4 divisors (see below), whose sum is σ = 10509591685716. Its totient is φ = 10509578715904.

The previous prime is 10509585200753. The next prime is 10509585200843. The reversal of 10509585200809 is 90800258590501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 5110221936400 + 5399363264409 = 2260580^2 + 2323653^2 .

It is a cyclic number.

It is not a de Polignac number, because 10509585200809 - 2³⁹ = 9959829386921 is a prime.

It is a super-2 number, since 2×10509585200809² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10509585200869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1527357 + ... + 4832389.

It is an arithmetic number, because the mean of its divisors is an integer number (2627397921429).

Almost surely, 2^{10509585200809} is an apocalyptic number.

It is an amenable number.

10509585200809 is a deficient number, since it is larger than the sum of its proper divisors (6484907).

10509585200809 is an equidigital number, since it uses as much as digits as its factorization.

10509585200809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484906.

The product of its (nonzero) digits is 1296000, while the sum is 52.

The spelling of 10509585200809 in words is "ten trillion, five hundred nine billion, five hundred eighty-five million, two hundred thousand, eight hundred nine".