1677162617761 has 2 divisors, whose sum is σ = 1677162617762. Its totient is φ = 1677162617760.

The previous prime is 1677162617749. The next prime is 1677162617849.

1677162617761 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915131390625 + 762031227136 = 956625^2 + 872944^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1677162617761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1677162617696 and 1677162617705.

It is not a weakly prime, because it can be changed into another prime (1677162617731) 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, 838581308880 + 838581308881.

It is an arithmetic number, because the mean of its divisors is an integer number (838581308881).

Almost surely, 2^{1677162617761} is an apocalyptic number.

It is an amenable number.

1677162617761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1677162617761 is an equidigital number, since it uses as much as digits as its factorization.

1677162617761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6223392, while the sum is 58.

The spelling of 1677162617761 in words is "one trillion, six hundred seventy-seven billion, one hundred sixty-two million, six hundred seventeen thousand, seven hundred sixty-one".