4135512641 has 12 divisors (see below), whose sum is σ = 4517749548. Its totient is φ = 3783596544.

The previous prime is 4135512637. The next prime is 4135512643. The reversal of 4135512641 is 1462155314.

4135512641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1736472241 + 2399040400 = 41671^2 + 48980^2 .

It is not a de Polignac number, because 4135512641 - 2² = 4135512637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4135512598 and 4135512607.

It is not an unprimeable number, because it can be changed into a prime (4135512643) 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 11 ways as a sum of consecutive naturals, for example, 89180 + ... + 127373.

It is an arithmetic number, because the mean of its divisors is an integer number (376479129).

Almost surely, 2^4135512641 is an apocalyptic number.

It is an amenable number.

4135512641 is a deficient number, since it is larger than the sum of its proper divisors (382236907).

4135512641 is a wasteful number, since it uses less digits than its factorization.

4135512641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216692 (or 216679 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 4135512641 is about 64307.9516156439. The cubic root of 4135512641 is about 1605.1284196376.

Adding to 4135512641 its reverse (1462155314), we get a palindrome (5597667955).

The spelling of 4135512641 in words is "four billion, one hundred thirty-five million, five hundred twelve thousand, six hundred forty-one".