57835338752713 has 2 divisors, whose sum is σ = 57835338752714. Its totient is φ = 57835338752712.

The previous prime is 57835338752699. The next prime is 57835338752717. The reversal of 57835338752713 is 31725783353875.

It is a happy number.

57835338752713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56740620173769 + 1094718578944 = 7532637^2 + 1046288^2 .

It is a cyclic number.

It is not a de Polignac number, because 57835338752713 - 2²¹ = 57835336655561 is a prime.

It is a super-2 number, since 2×57835338752713² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57835338752717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28917669376356 + 28917669376357.

It is an arithmetic number, because the mean of its divisors is an integer number (28917669376357).

Almost surely, 2^{57835338752713} is an apocalyptic number.

It is an amenable number.

57835338752713 is a deficient number, since it is larger than the sum of its proper divisors (1).

57835338752713 is an equidigital number, since it uses as much as digits as its factorization.

57835338752713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 444528000, while the sum is 67.

The spelling of 57835338752713 in words is "fifty-seven trillion, eight hundred thirty-five billion, three hundred thirty-eight million, seven hundred fifty-two thousand, seven hundred thirteen".