38401352766313 has 2 divisors, whose sum is σ = 38401352766314. Its totient is φ = 38401352766312.

The previous prime is 38401352766241. The next prime is 38401352766349. The reversal of 38401352766313 is 31366725310483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30037272313129 + 8364080453184 = 5480627^2 + 2892072^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401352766313 - 2³³ = 38392762831721 is a prime.

It is a super-2 number, since 2×38401352766313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38401352760313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200676383156 + 19200676383157.

It is an arithmetic number, because the mean of its divisors is an integer number (19200676383157).

Almost surely, 2^{38401352766313} is an apocalyptic number.

It is an amenable number.

38401352766313 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401352766313 is an equidigital number, since it uses as much as digits as its factorization.

38401352766313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 38401352766313 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, three hundred thirteen".