4035313598481 has 135 divisors (see below), whose sum is σ = 6724974881163. Its totient is φ = 2409606571680.

The previous prime is 4035313598453. The next prime is 4035313598527. The reversal of 4035313598481 is 1848953135304.

It is a happy number.

The square root of 4035313598481 is 2008809.

It is a perfect power (a square), and thus also a powerful number.

4035313598481 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 3 + 1 + 3 + 598 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3953794212225 + 81519386256 = 1988415^2 + 285516^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4035313598481 is a prime.

It is a super-2 number, since 2×4035313598481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4035313599481) 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 134 ways as a sum of consecutive naturals, for example, 20483825275 + ... + 20483825471.

Almost surely, 2^{4035313598481} is an apocalyptic number.

4035313598481 is the 2008809-th square number.

4035313598481 is the 1004405-th centered octagonal number.

It is an amenable number.

4035313598481 is a deficient number, since it is larger than the sum of its proper divisors (2689661282682).

4035313598481 is an equidigital number, since it uses as much as digits as its factorization.

4035313598481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4035313598481 in words is "four trillion, thirty-five billion, three hundred thirteen million, five hundred ninety-eight thousand, four hundred eighty-one".