1427727607321 has 2 divisors, whose sum is σ = 1427727607322. Its totient is φ = 1427727607320.

The previous prime is 1427727607237. The next prime is 1427727607357. The reversal of 1427727607321 is 1237067277241.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1401560015625 + 26167591696 = 1183875^2 + 161764^2 .

It is a cyclic number.

It is not a de Polignac number, because 1427727607321 - 2¹⁹ = 1427727083033 is a prime.

It is a super-2 number, since 2×1427727607321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1427727607921) 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, 713863803660 + 713863803661.

It is an arithmetic number, because the mean of its divisors is an integer number (713863803661).

Almost surely, 2^{1427727607321} is an apocalyptic number.

It is an amenable number.

1427727607321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1427727607321 is an equidigital number, since it uses as much as digits as its factorization.

1427727607321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 1427727607321 in words is "one trillion, four hundred twenty-seven billion, seven hundred twenty-seven million, six hundred seven thousand, three hundred twenty-one".