1628637605761 has 2 divisors, whose sum is σ = 1628637605762. Its totient is φ = 1628637605760.

The previous prime is 1628637605759. The next prime is 1628637605767. The reversal of 1628637605761 is 1675067368261.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1605947907600 + 22689698161 = 1267260^2 + 150631^2 .

It is a cyclic number.

It is not a de Polignac number, because 1628637605761 - 2¹ = 1628637605759 is a prime.

Together with 1628637605759, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1628637605696 and 1628637605705.

It is not a weakly prime, because it can be changed into another prime (1628637605767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 814318802880 + 814318802881.

It is an arithmetic number, because the mean of its divisors is an integer number (814318802881).

Almost surely, 2^{1628637605761} is an apocalyptic number.

It is an amenable number.

1628637605761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1628637605761 is an equidigital number, since it uses as much as digits as its factorization.

1628637605761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 1628637605761 in words is "one trillion, six hundred twenty-eight billion, six hundred thirty-seven million, six hundred five thousand, seven hundred sixty-one".