4258072331993 has 2 divisors, whose sum is σ = 4258072331994. Its totient is φ = 4258072331992.

The previous prime is 4258072331959. The next prime is 4258072332001. The reversal of 4258072331993 is 3991332708524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3934462668304 + 323609663689 = 1983548^2 + 568867^2 .

It is a cyclic number.

It is not a de Polignac number, because 4258072331993 - 2²⁴ = 4258055554777 is a prime.

It is a super-2 number, since 2×4258072331993² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4258072331923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2129036165996 + 2129036165997.

It is an arithmetic number, because the mean of its divisors is an integer number (2129036165997).

Almost surely, 2^{4258072331993} is an apocalyptic number.

It is an amenable number.

4258072331993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4258072331993 is an equidigital number, since it uses as much as digits as its factorization.

4258072331993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 4258072331993 in words is "four trillion, two hundred fifty-eight billion, seventy-two million, three hundred thirty-one thousand, nine hundred ninety-three".