4137630813 has 6 divisors (see below), whose sum is σ = 5976577854. Its totient is φ = 2758420536.

The previous prime is 4137630811. The next prime is 4137630823. The reversal of 4137630813 is 3180367314.

4137630813 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 630 + 8 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3058311204 + 1079319609 = 55302^2 + 32853^2 .

It is not a de Polignac number, because 4137630813 - 2¹ = 4137630811 is a prime.

It is a super-3 number, since 3×4137630813³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137630811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 229868370 + ... + 229868387.

It is an arithmetic number, because the mean of its divisors is an integer number (996096309).

Almost surely, 2^4137630813 is an apocalyptic number.

It is an amenable number.

4137630813 is a deficient number, since it is larger than the sum of its proper divisors (1838947041).

4137630813 is a wasteful number, since it uses less digits than its factorization.

4137630813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459736763 (or 459736760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4137630813 is about 64324.4184816311. The cubic root of 4137630813 is about 1605.4024169275.

The spelling of 4137630813 in words is "four billion, one hundred thirty-seven million, six hundred thirty thousand, eight hundred thirteen".