22505408253 has 64 divisors (see below), whose sum is σ = 35197747200. Its totient is φ = 14184434880.

The previous prime is 22505408239. The next prime is 22505408279. The reversal of 22505408253 is 35280450522.

It is a happy number.

22505408253 is a `hidden beast` number, since 22 + 505 + 4 + 0 + 82 + 53 = 666.

It is not a de Polignac number, because 22505408253 - 2⁵ = 22505408221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22505408293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36357378 + ... + 36357996.

It is an arithmetic number, because the mean of its divisors is an integer number (549964800).

Almost surely, 2^22505408253 is an apocalyptic number.

22505408253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22505408253 is a deficient number, since it is larger than the sum of its proper divisors (12692338947).

22505408253 is a wasteful number, since it uses less digits than its factorization.

22505408253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 22505408253 its reverse (35280450522), we get a palindrome (57785858775).

The spelling of 22505408253 in words is "twenty-two billion, five hundred five million, four hundred eight thousand, two hundred fifty-three".