35005131413 has 24 divisors (see below), whose sum is σ = 43151897880. Its totient is φ = 28263137280.

The previous prime is 35005131401. The next prime is 35005131433. The reversal of 35005131413 is 31413150053.

It can be written as a sum of positive squares in 4 ways, for example, as 4590469009 + 30414662404 = 67753^2 + 174398^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35005131413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35005131433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242156 + ... + 358677.

It is an arithmetic number, because the mean of its divisors is an integer number (1797995745).

Almost surely, 2^35005131413 is an apocalyptic number.

It is an amenable number.

35005131413 is a deficient number, since it is larger than the sum of its proper divisors (8146766467).

35005131413 is a wasteful number, since it uses less digits than its factorization.

35005131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600917 (or 600910 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 35005131413 its reverse (31413150053), we get a palindrome (66418281466).

The spelling of 35005131413 in words is "thirty-five billion, five million, one hundred thirty-one thousand, four hundred thirteen".