34051204321353 has 24 divisors (see below), whose sum is σ = 50981072992200. Its totient is φ = 21874955553024.

The previous prime is 34051204321313. The next prime is 34051204321369. The reversal of 34051204321353 is 35312340215043.

34051204321353 is a `hidden beast` number, since 3 + 4 + 0 + 512 + 0 + 4 + 3 + 2 + 135 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3285855912249 + 30765348409104 = 1812693^2 + 5546652^2 .

It is not a de Polignac number, because 34051204321353 - 2²⁴ = 34051187544137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34051204321313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128024700 + ... + 128290397.

It is an arithmetic number, because the mean of its divisors is an integer number (2124211374675).

Almost surely, 2^{34051204321353} is an apocalyptic number.

It is an amenable number.

34051204321353 is a deficient number, since it is larger than the sum of its proper divisors (16929868670847).

34051204321353 is a wasteful number, since it uses less digits than its factorization.

34051204321353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256315641 (or 256315638 counting only the distinct ones).

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

Adding to 34051204321353 its reverse (35312340215043), we get a palindrome (69363544536396).

The spelling of 34051204321353 in words is "thirty-four trillion, fifty-one billion, two hundred four million, three hundred twenty-one thousand, three hundred fifty-three".