22532005013 has 24 divisors (see below), whose sum is σ = 26383862232. Its totient is φ = 19185997824.

The previous prime is 22532005009. The next prime is 22532005043. The reversal of 22532005013 is 31050023522.

It can be written as a sum of positive squares in 4 ways, for example, as 2407177969 + 20124827044 = 49063^2 + 141862^2 .

It is not a de Polignac number, because 22532005013 - 2² = 22532005009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22532005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22532005043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4835981 + ... + 4840637.

It is an arithmetic number, because the mean of its divisors is an integer number (1099327593).

Almost surely, 2^22532005013 is an apocalyptic number.

It is an amenable number.

22532005013 is a deficient number, since it is larger than the sum of its proper divisors (3851857219).

22532005013 is a wasteful number, since it uses less digits than its factorization.

22532005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 22532005013 its reverse (31050023522), we get a palindrome (53582028535).

The spelling of 22532005013 in words is "twenty-two billion, five hundred thirty-two million, five thousand, thirteen".