2235312324513 has 24 divisors (see below), whose sum is σ = 3310227222120. Its totient is φ = 1452678416640.

The previous prime is 2235312324499. The next prime is 2235312324629. The reversal of 2235312324513 is 3154232135322.

2235312324513 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 312 + 324 + 5 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1118553718689 + 1116758605824 = 1057617^2 + 1056768^2 .

It is not a de Polignac number, because 2235312324513 - 2²¹ = 2235310227361 is a prime.

It is a super-2 number, since 2×2235312324513² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2235312325513) 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 23 ways as a sum of consecutive naturals, for example, 2011006 + ... + 2918007.

It is an arithmetic number, because the mean of its divisors is an integer number (137926134255).

Almost surely, 2^{2235312324513} is an apocalyptic number.

It is an amenable number.

2235312324513 is a deficient number, since it is larger than the sum of its proper divisors (1074914897607).

2235312324513 is a wasteful number, since it uses less digits than its factorization.

2235312324513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930289 (or 4930286 counting only the distinct ones).

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

Adding to 2235312324513 its reverse (3154232135322), we get a palindrome (5389544459835).

The spelling of 2235312324513 in words is "two trillion, two hundred thirty-five billion, three hundred twelve million, three hundred twenty-four thousand, five hundred thirteen".