22533013421325 has 288 divisors, whose sum is σ = 47638431659520. Its totient is φ = 10057641369600.

The previous prime is 22533013421299. The next prime is 22533013421327. The reversal of 22533013421325 is 52312431033522.

22533013421325 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 301 + 3 + 4 + 21 + 325 = 666.

It is not a de Polignac number, because 22533013421325 - 2¹³ = 22533013413133 is a prime.

It is a super-2 number, since 2×22533013421325² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22533013421325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22533013421327) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5752618267 + ... + 5752622183.

It is an arithmetic number, because the mean of its divisors is an integer number (165411221040).

Almost surely, 2^{22533013421325} is an apocalyptic number.

22533013421325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22533013421325 is an abundant number, since it is smaller than the sum of its proper divisors (25105418238195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22533013421325 is a wasteful number, since it uses less digits than its factorization.

22533013421325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 22533013421325 its reverse (52312431033522), we get a palindrome (74845444454847).

The spelling of 22533013421325 in words is "twenty-two trillion, five hundred thirty-three billion, thirteen million, four hundred twenty-one thousand, three hundred twenty-five".