4013978501713 has 2 divisors, whose sum is σ = 4013978501714. Its totient is φ = 4013978501712.

The previous prime is 4013978501681. The next prime is 4013978501717. The reversal of 4013978501713 is 3171058793104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3941428001809 + 72550499904 = 1985303^2 + 269352^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013978501713 - 2⁵ = 4013978501681 is a prime.

It is a super-2 number, since 2×4013978501713² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013978501717) 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 as a sum of consecutive naturals, namely, 2006989250856 + 2006989250857.

It is an arithmetic number, because the mean of its divisors is an integer number (2006989250857).

Almost surely, 2^{4013978501713} is an apocalyptic number.

It is an amenable number.

4013978501713 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013978501713 is an equidigital number, since it uses as much as digits as its factorization.

4013978501713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 4013978501713 in words is "four trillion, thirteen billion, nine hundred seventy-eight million, five hundred one thousand, seven hundred thirteen".