35142422424153 has 64 divisors (see below), whose sum is σ = 52496104320000. Its totient is φ = 20727215308800.

The previous prime is 35142422424133. The next prime is 35142422424157.

35142422424153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35142422424153 - 2²⁶ = 35142355315289 is a prime.

It is a super-2 number, since 2×35142422424153² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35142422424157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625604758 + ... + 625660928.

It is an arithmetic number, because the mean of its divisors is an integer number (820251630000).

Almost surely, 2^{35142422424153} is an apocalyptic number.

35142422424153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35142422424153 is a deficient number, since it is larger than the sum of its proper divisors (17353681895847).

35142422424153 is a wasteful number, since it uses less digits than its factorization.

35142422424153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57830.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 3514242 and 2424153, that added together give a palindrome (5938395).

The spelling of 35142422424153 in words is "thirty-five trillion, one hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, one hundred fifty-three".