57559617761 has 2 divisors, whose sum is σ = 57559617762. Its totient is φ = 57559617760.

The previous prime is 57559617743. The next prime is 57559617779. The reversal of 57559617761 is 16771695575.

It is a balanced prime because it is at equal distance from previous prime (57559617743) and next prime (57559617779).

It can be written as a sum of positive squares in only one way, i.e., 56351638225 + 1207979536 = 237385^2 + 34756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57559617761 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57559617761.

It is not a weakly prime, because it can be changed into another prime (57559617781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28779808880 + 28779808881.

It is an arithmetic number, because the mean of its divisors is an integer number (28779808881).

Almost surely, 2^57559617761 is an apocalyptic number.

It is an amenable number.

57559617761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57559617761 is an equidigital number, since it uses as much as digits as its factorization.

57559617761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13891500, while the sum is 59.

The spelling of 57559617761 in words is "fifty-seven billion, five hundred fifty-nine million, six hundred seventeen thousand, seven hundred sixty-one".