57057101 has 2 divisors, whose sum is σ = 57057102. Its totient is φ = 57057100.

The previous prime is 57057079. The next prime is 57057109. The reversal of 57057101 is 10175075.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56265001 + 792100 = 7501^2 + 890^2 .

It is a cyclic number.

It is not a de Polignac number, because 57057101 - 2¹⁸ = 56794957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57057109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28528550 + 28528551.

It is an arithmetic number, because the mean of its divisors is an integer number (28528551).

Almost surely, 2^57057101 is an apocalyptic number.

It is an amenable number.

57057101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57057101 is an equidigital number, since it uses as much as digits as its factorization.

57057101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 57057101 is about 7553.6150947742. The cubic root of 57057101 is about 384.9785809189.

The spelling of 57057101 in words is "fifty-seven million, fifty-seven thousand, one hundred one".