1627665128753 has 2 divisors, whose sum is σ = 1627665128754. Its totient is φ = 1627665128752.

The previous prime is 1627665128689. The next prime is 1627665128777. The reversal of 1627665128753 is 3578215667261.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1355773798129 + 271891330624 = 1164377^2 + 521432^2 .

It is an emirp because it is prime and its reverse (3578215667261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1627665128753 - 2⁶ = 1627665128689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1627665128692 and 1627665128701.

It is not a weakly prime, because it can be changed into another prime (1627665128153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 813832564376 + 813832564377.

It is an arithmetic number, because the mean of its divisors is an integer number (813832564377).

Almost surely, 2^{1627665128753} is an apocalyptic number.

It is an amenable number.

1627665128753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1627665128753 is an equidigital number, since it uses as much as digits as its factorization.

1627665128753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25401600, while the sum is 59.

The spelling of 1627665128753 in words is "one trillion, six hundred twenty-seven billion, six hundred sixty-five million, one hundred twenty-eight thousand, seven hundred fifty-three".