822557125353661 has 2 divisors, whose sum is σ = 822557125353662. Its totient is φ = 822557125353660.

The previous prime is 822557125353571. The next prime is 822557125353701. The reversal of 822557125353661 is 166353521755228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 809459059588036 + 13098065765625 = 28450994^2 + 3619125^2 .

It is a cyclic number.

It is not a de Polignac number, because 822557125353661 - 2¹⁷ = 822557125222589 is a prime.

It is a super-2 number, since 2×822557125353661² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 822557125353661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (822557125653661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411278562676830 + 411278562676831.

It is an arithmetic number, because the mean of its divisors is an integer number (411278562676831).

Almost surely, 2^{822557125353661} is an apocalyptic number.

It is an amenable number.

822557125353661 is a deficient number, since it is larger than the sum of its proper divisors (1).

822557125353661 is an equidigital number, since it uses as much as digits as its factorization.

822557125353661 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720000, while the sum is 61.

The spelling of 822557125353661 in words is "eight hundred twenty-two trillion, five hundred fifty-seven billion, one hundred twenty-five million, three hundred fifty-three thousand, six hundred sixty-one".