57129817742441 has 2 divisors, whose sum is σ = 57129817742442. Its totient is φ = 57129817742440.

The previous prime is 57129817742423. The next prime is 57129817742477. The reversal of 57129817742441 is 14424771892175.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43693223707225 + 13436594035216 = 6610085^2 + 3665596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57129817742441 is a prime.

It is not a weakly prime, because it can be changed into another prime (57129817742741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28564908871220 + 28564908871221.

It is an arithmetic number, because the mean of its divisors is an integer number (28564908871221).

Almost surely, 2^{57129817742441} is an apocalyptic number.

It is an amenable number.

57129817742441 is a deficient number, since it is larger than the sum of its proper divisors (1).

57129817742441 is an equidigital number, since it uses as much as digits as its factorization.

57129817742441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31610880, while the sum is 62.

The spelling of 57129817742441 in words is "fifty-seven trillion, one hundred twenty-nine billion, eight hundred seventeen million, seven hundred forty-two thousand, four hundred forty-one".