3138794265601 has 2 divisors, whose sum is σ = 3138794265602. Its totient is φ = 3138794265600.

The previous prime is 3138794265569. The next prime is 3138794265637. The reversal of 3138794265601 is 1065624978313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2310403040001 + 828391225600 = 1520001^2 + 910160^2 .

It is a cyclic number.

It is not a de Polignac number, because 3138794265601 - 2⁵ = 3138794265569 is a prime.

It is not a weakly prime, because it can be changed into another prime (3138794263601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1569397132800 + 1569397132801.

It is an arithmetic number, because the mean of its divisors is an integer number (1569397132801).

It is a 1-persistent number, because it is pandigital, but 2⋅3138794265601 = 6277588531202 is not.

Almost surely, 2^{3138794265601} is an apocalyptic number.

It is an amenable number.

3138794265601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3138794265601 is an equidigital number, since it uses as much as digits as its factorization.

3138794265601 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 55.

The spelling of 3138794265601 in words is "three trillion, one hundred thirty-eight billion, seven hundred ninety-four million, two hundred sixty-five thousand, six hundred one".