35042824053 has 24 divisors (see below), whose sum is σ = 50925288960. Its totient is φ = 23219994240.

The previous prime is 35042824043. The next prime is 35042824073.

35042824053 is nontrivially palindromic in base 10.

35042824053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-35042824053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35042823999 and 35042824017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35042824043) 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, 2197533 + ... + 2213421.

It is an arithmetic number, because the mean of its divisors is an integer number (2121887040).

Almost surely, 2^35042824053 is an apocalyptic number.

It is an amenable number.

35042824053 is a deficient number, since it is larger than the sum of its proper divisors (15882464907).

35042824053 is a wasteful number, since it uses less digits than its factorization.

35042824053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369 (or 17366 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 35042824053 in words is "thirty-five billion, forty-two million, eight hundred twenty-four thousand, fifty-three".