220124313257 has 2 divisors, whose sum is σ = 220124313258. Its totient is φ = 220124313256.

The previous prime is 220124313191. The next prime is 220124313281. The reversal of 220124313257 is 752313421022.

220124313257 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., 192215603776 + 27908709481 = 438424^2 + 167059^2 .

It is a cyclic number.

It is not a de Polignac number, because 220124313257 - 2²⁴ = 220107536041 is a prime.

It is not a weakly prime, because it can be changed into another prime (220124313557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110062156628 + 110062156629.

It is an arithmetic number, because the mean of its divisors is an integer number (110062156629).

Almost surely, 2^220124313257 is an apocalyptic number.

It is an amenable number.

220124313257 is a deficient number, since it is larger than the sum of its proper divisors (1).

220124313257 is an equidigital number, since it uses as much as digits as its factorization.

220124313257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 220124313257 its reverse (752313421022), we get a palindrome (972437734279).

The spelling of 220124313257 in words is "two hundred twenty billion, one hundred twenty-four million, three hundred thirteen thousand, two hundred fifty-seven".