10038028379593 has 2 divisors, whose sum is σ = 10038028379594. Its totient is φ = 10038028379592.

The previous prime is 10038028379579. The next prime is 10038028379681. The reversal of 10038028379593 is 39597382083001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9709873548489 + 328154831104 = 3116067^2 + 572848^2 .

It is a cyclic number.

It is not a de Polignac number, because 10038028379593 - 2¹³ = 10038028371401 is a prime.

It is a super-3 number, since 3×10038028379593³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10038028379893) 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, 5019014189796 + 5019014189797.

It is an arithmetic number, because the mean of its divisors is an integer number (5019014189797).

Almost surely, 2^{10038028379593} is an apocalyptic number.

It is an amenable number.

10038028379593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038028379593 is an equidigital number, since it uses as much as digits as its factorization.

10038028379593 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 58.

The spelling of 10038028379593 in words is "ten trillion, thirty-eight billion, twenty-eight million, three hundred seventy-nine thousand, five hundred ninety-three".