35022166122053 has 16 divisors (see below), whose sum is σ = 39345375974400. Its totient is φ = 30902513956080.

The previous prime is 35022166122043. The next prime is 35022166122107.

35022166122053 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 35022166122053 - 2⁶ = 35022166121989 is a prime.

It is a super-3 number, since 3×35022166122053³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35022166121998 and 35022166122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35022166122043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341488451 + ... + 341590992.

It is an arithmetic number, because the mean of its divisors is an integer number (2459085998400).

Almost surely, 2^{35022166122053} is an apocalyptic number.

It is an amenable number.

35022166122053 is a deficient number, since it is larger than the sum of its proper divisors (4323209852347).

35022166122053 is a wasteful number, since it uses less digits than its factorization.

35022166122053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683079592.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 3502216 and 6122053, that added together give a palindrome (9624269).

The spelling of 35022166122053 in words is "thirty-five trillion, twenty-two billion, one hundred sixty-six million, one hundred twenty-two thousand, fifty-three".