2205313647677 has 6 divisors (see below), whose sum is σ = 2565364855518. Its totient is φ = 1890268840824.

The previous prime is 2205313647661. The next prime is 2205313647749. The reversal of 2205313647677 is 7767463135022.

It can be written as a sum of positive squares in only one way, i.e., 2146374432601 + 58939215076 = 1465051^2 + 242774^2 .

It is not a de Polignac number, because 2205313647677 - 2⁴ = 2205313647661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205313647877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22503200438 + ... + 22503200535.

It is an arithmetic number, because the mean of its divisors is an integer number (427560809253).

Almost surely, 2^{2205313647677} is an apocalyptic number.

It is an amenable number.

2205313647677 is a deficient number, since it is larger than the sum of its proper divisors (360051207841).

2205313647677 is an equidigital number, since it uses as much as digits as its factorization.

2205313647677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45006400987 (or 45006400980 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 53.

The spelling of 2205313647677 in words is "two trillion, two hundred five billion, three hundred thirteen million, six hundred forty-seven thousand, six hundred seventy-seven".