57660262801 has 2 divisors, whose sum is σ = 57660262802. Its totient is φ = 57660262800.

The previous prime is 57660262739. The next prime is 57660262813. The reversal of 57660262801 is 10826206675.

57660262801 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., 47067736401 + 10592526400 = 216951^2 + 102920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57660262801 is a prime.

It is not a weakly prime, because it can be changed into another prime (57660266801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28830131400 + 28830131401.

It is an arithmetic number, because the mean of its divisors is an integer number (28830131401).

Almost surely, 2^57660262801 is an apocalyptic number.

It is an amenable number.

57660262801 is a deficient number, since it is larger than the sum of its proper divisors (1).

57660262801 is an equidigital number, since it uses as much as digits as its factorization.

57660262801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 57660262801 in words is "fifty-seven billion, six hundred sixty million, two hundred sixty-two thousand, eight hundred one".