2763213127201 has 2 divisors, whose sum is σ = 2763213127202. Its totient is φ = 2763213127200.

The previous prime is 2763213127183. The next prime is 2763213127217. The reversal of 2763213127201 is 1027213123672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1699425104400 + 1063788022801 = 1303620^2 + 1031401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2763213127201 - 2²⁷ = 2763078909473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2763213127601) 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, 1381606563600 + 1381606563601.

It is an arithmetic number, because the mean of its divisors is an integer number (1381606563601).

Almost surely, 2^{2763213127201} is an apocalyptic number.

It is an amenable number.

2763213127201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2763213127201 is an equidigital number, since it uses as much as digits as its factorization.

2763213127201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 2763213127201 in words is "two trillion, seven hundred sixty-three billion, two hundred thirteen million, one hundred twenty-seven thousand, two hundred one".