35042344324053 has 64 divisors (see below), whose sum is σ = 51996864045312. Its totient is φ = 20811222548480.

The previous prime is 35042344324003. The next prime is 35042344324103.

35042344324053 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (35042344324003) and next prime (35042344324103).

It is a cyclic number.

It is not a de Polignac number, because 35042344324053 - 2¹³ = 35042344315861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35042344323996 and 35042344324014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35042344324003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7862314201 + ... + 7862318657.

It is an arithmetic number, because the mean of its divisors is an integer number (812451000708).

Almost surely, 2^{35042344324053} is an apocalyptic number.

35042344324053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35042344324053 is a deficient number, since it is larger than the sum of its proper divisors (16954519721259).

35042344324053 is a wasteful number, since it uses less digits than its factorization.

35042344324053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094.

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 3504234 and 4324053, that added together give a palindrome (7828287).

The spelling of 35042344324053 in words is "thirty-five trillion, forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, fifty-three".