57612561101 has 2 divisors, whose sum is σ = 57612561102. Its totient is φ = 57612561100.

The previous prime is 57612561029. The next prime is 57612561143. The reversal of 57612561101 is 10116521675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37127509225 + 20485051876 = 192685^2 + 143126^2 .

It is a cyclic number.

It is not a de Polignac number, because 57612561101 - 2³⁰ = 56538819277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57612561161) 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, 28806280550 + 28806280551.

It is an arithmetic number, because the mean of its divisors is an integer number (28806280551).

Almost surely, 2^57612561101 is an apocalyptic number.

It is an amenable number.

57612561101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57612561101 is an equidigital number, since it uses as much as digits as its factorization.

57612561101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 57612561101 in words is "fifty-seven billion, six hundred twelve million, five hundred sixty-one thousand, one hundred one".