35042644624053 has 64 divisors (see below), whose sum is σ = 54105555308544. Its totient is φ = 19938273024000.

The previous prime is 35042644624033. The next prime is 35042644624079.

35042644624053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35042644624053 - 2¹⁴ = 35042644607669 is a prime.

It is a super-2 number, since 2×35042644624053² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35042644623993 and 35042644624011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35042644624033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1528833033 + ... + 1528855953.

It is an arithmetic number, because the mean of its divisors is an integer number (845399301696).

Almost surely, 2^{35042644624053} is an apocalyptic number.

35042644624053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35042644624053 is a deficient number, since it is larger than the sum of its proper divisors (19062910684491).

35042644624053 is a wasteful number, since it uses less digits than its factorization.

35042644624053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29706.

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 35042644624053 in words is "thirty-five trillion, forty-two billion, six hundred forty-four million, six hundred twenty-four thousand, fifty-three".