4130005706613 has 20 divisors (see below), whose sum is σ = 6169584487308. Its totient is φ = 2753305992000.

The previous prime is 4130005706557. The next prime is 4130005706683. The reversal of 4130005706613 is 3166075000314.

4130005706613 is a `hidden beast` number, since 4 + 1 + 30 + 0 + 0 + 5 + 7 + 0 + 6 + 613 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1674068524164 + 2455937182449 = 1293858^2 + 1567143^2 .

It is not a de Polignac number, because 4130005706613 - 2¹⁷ = 4130005575541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130005706683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8595195 + ... + 9062967.

Almost surely, 2^{4130005706613} is an apocalyptic number.

It is an amenable number.

4130005706613 is a deficient number, since it is larger than the sum of its proper divisors (2039578780695).

4130005706613 is a wasteful number, since it uses less digits than its factorization.

4130005706613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576786 (or 576777 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 4130005706613 in words is "four trillion, one hundred thirty billion, five million, seven hundred six thousand, six hundred thirteen".