22005100509 has 32 divisors (see below), whose sum is σ = 35990426880. Its totient is φ = 11672543232.

The previous prime is 22005100499. The next prime is 22005100547. The reversal of 22005100509 is 90500150022.

It is not a de Polignac number, because 22005100509 - 2²⁰ = 22004051933 is a prime.

It is a super-2 number, since 2×22005100509² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005100589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396124 + ... + 448245.

It is an arithmetic number, because the mean of its divisors is an integer number (1124700840).

Almost surely, 2^22005100509 is an apocalyptic number.

It is an amenable number.

22005100509 is a deficient number, since it is larger than the sum of its proper divisors (13985326371).

22005100509 is a wasteful number, since it uses less digits than its factorization.

22005100509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844469.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 22005100509 in words is "twenty-two billion, five million, one hundred thousand, five hundred nine".