38893735774013 has 2 divisors, whose sum is σ = 38893735774014. Its totient is φ = 38893735774012.

The previous prime is 38893735773913. The next prime is 38893735774021. The reversal of 38893735774013 is 31047753739883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30483892373284 + 8409843400729 = 5521222^2 + 2899973^2 .

It is a cyclic number.

It is not a de Polignac number, because 38893735774013 - 2¹⁰ = 38893735772989 is a prime.

It is a super-2 number, since 2×38893735774013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38893735774093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19446867887006 + 19446867887007.

It is an arithmetic number, because the mean of its divisors is an integer number (19446867887007).

Almost surely, 2^{38893735774013} is an apocalyptic number.

It is an amenable number.

38893735774013 is a deficient number, since it is larger than the sum of its proper divisors (1).

38893735774013 is an equidigital number, since it uses as much as digits as its factorization.

38893735774013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320060160, while the sum is 68.

The spelling of 38893735774013 in words is "thirty-eight trillion, eight hundred ninety-three billion, seven hundred thirty-five million, seven hundred seventy-four thousand, thirteen".