4114521735413 has 2 divisors, whose sum is σ = 4114521735414. Its totient is φ = 4114521735412.

The previous prime is 4114521735377. The next prime is 4114521735419. The reversal of 4114521735413 is 3145371254114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3973571797924 + 140949937489 = 1993382^2 + 375433^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114521735413 - 2²² = 4114517541109 is a prime.

It is a super-3 number, since 3×4114521735413³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4114521735419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2057260867706 + 2057260867707.

It is an arithmetic number, because the mean of its divisors is an integer number (2057260867707).

Almost surely, 2^{4114521735413} is an apocalyptic number.

It is an amenable number.

4114521735413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114521735413 is an equidigital number, since it uses as much as digits as its factorization.

4114521735413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 201600, while the sum is 41.

Adding to 4114521735413 its reverse (3145371254114), we get a palindrome (7259892989527).

The spelling of 4114521735413 in words is "four trillion, one hundred fourteen billion, five hundred twenty-one million, seven hundred thirty-five thousand, four hundred thirteen".