35043122134053 has 24 divisors (see below), whose sum is σ = 55222861037760. Its totient is φ = 21236949740160.

The previous prime is 35043122133967. The next prime is 35043122134123.

35043122134053 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 31 + 2 + 213 + 405 + 3 = 666.

35043122134053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35043122134053 - 2¹² = 35043122129957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35043122133999 and 35043122134017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35043122138053) 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, 9264993 + ... + 12487046.

It is an arithmetic number, because the mean of its divisors is an integer number (2300952543240).

Almost surely, 2^{35043122134053} is an apocalyptic number.

35043122134053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35043122134053 is a deficient number, since it is larger than the sum of its proper divisors (20179738903707).

35043122134053 is a wasteful number, since it uses less digits than its factorization.

35043122134053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768329 (or 21768326 counting only the distinct ones).

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

It can be divided in two parts, 3504312 and 2134053, that added together give a palindrome (5638365).

The spelling of 35043122134053 in words is "thirty-five trillion, forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, fifty-three".