57767641801 has 3 divisors (see below), whose sum is σ = 57767882151. Its totient is φ = 57767401452.

The previous prime is 57767641759. The next prime is 57767641837. The reversal of 57767641801 is 10814676775.

It is a happy number.

The square root of 57767641801 is 240349.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 23149318201 + 34618323600 = 152149^2 + 186060^2 .

It is not a de Polignac number, because 57767641801 - 2⁹ = 57767641289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57767641601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 120175 + ... + 360523.

It is an arithmetic number, because the mean of its divisors is an integer number (19255960717).

Almost surely, 2^57767641801 is an apocalyptic number.

57767641801 is the 240349-th square number.

57767641801 is the 120175-th centered octagonal number.

It is an amenable number.

57767641801 is a deficient number, since it is larger than the sum of its proper divisors (240350).

57767641801 is an frugal number, since it uses more digits than its factorization.

57767641801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480698 (or 240349 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 57767641801 in words is "fifty-seven billion, seven hundred sixty-seven million, six hundred forty-one thousand, eight hundred one".