3807138764593 has 2 divisors, whose sum is σ = 3807138764594. Its totient is φ = 3807138764592.

The previous prime is 3807138764563. The next prime is 3807138764609. The reversal of 3807138764593 is 3954678317083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2416383198784 + 1390755565809 = 1554472^2 + 1179303^2 .

It is a cyclic number.

It is not a de Polignac number, because 3807138764593 - 2⁹ = 3807138764081 is a prime.

It is not a weakly prime, because it can be changed into another prime (3807138764563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1903569382296 + 1903569382297.

It is an arithmetic number, because the mean of its divisors is an integer number (1903569382297).

Almost surely, 2^{3807138764593} is an apocalyptic number.

It is an amenable number.

3807138764593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3807138764593 is an equidigital number, since it uses as much as digits as its factorization.

3807138764593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91445760, while the sum is 64.

It can be divided in two parts, 3807 and 138764593, that added together give a square (138768400 = 11780²).

The spelling of 3807138764593 in words is "three trillion, eight hundred seven billion, one hundred thirty-eight million, seven hundred sixty-four thousand, five hundred ninety-three".