2656451772697 has 2 divisors, whose sum is σ = 2656451772698. Its totient is φ = 2656451772696.

The previous prime is 2656451772679. The next prime is 2656451772731. The reversal of 2656451772697 is 7962771546562.

Together with previous prime (2656451772679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1578299740416 + 1078152032281 = 1256304^2 + 1038341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2656451772697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2656451772647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1328225886348 + 1328225886349.

It is an arithmetic number, because the mean of its divisors is an integer number (1328225886349).

Almost surely, 2^{2656451772697} is an apocalyptic number.

It is an amenable number.

2656451772697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2656451772697 is an equidigital number, since it uses as much as digits as its factorization.

2656451772697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 266716800, while the sum is 67.

The spelling of 2656451772697 in words is "two trillion, six hundred fifty-six billion, four hundred fifty-one million, seven hundred seventy-two thousand, six hundred ninety-seven".