56737212362177 has 2 divisors, whose sum is σ = 56737212362178. Its totient is φ = 56737212362176.

The previous prime is 56737212362099. The next prime is 56737212362197. The reversal of 56737212362177 is 77126321273765.

56737212362177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40033447185601 + 16703765176576 = 6327199^2 + 4087024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56737212362177 is a prime.

It is a super-2 number, since 2×56737212362177² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (56737212362197) 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, 28368606181088 + 28368606181089.

It is an arithmetic number, because the mean of its divisors is an integer number (28368606181089).

Almost surely, 2^{56737212362177} is an apocalyptic number.

It is an amenable number.

56737212362177 is a deficient number, since it is larger than the sum of its proper divisors (1).

56737212362177 is an equidigital number, since it uses as much as digits as its factorization.

56737212362177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31116960, while the sum is 59.

The spelling of 56737212362177 in words is "fifty-six trillion, seven hundred thirty-seven billion, two hundred twelve million, three hundred sixty-two thousand, one hundred seventy-seven".