57545863638201 has 27 divisors (see below), whose sum is σ = 84508832773677. Its totient is φ = 37734082241760.

The previous prime is 57545863638161. The next prime is 57545863638239. The reversal of 57545863638201 is 10283636854575.

The square root of 57545863638201 is 7585899.

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

57545863638201 is a `hidden beast` number, since 5 + 7 + 545 + 8 + 6 + 3 + 6 + 3 + 82 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45878337956025 + 11667525682176 = 6773355^2 + 3415776^2 .

It is not a de Polignac number, because 57545863638201 - 2¹³ = 57545863630009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57545863638701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1388198791 + ... + 1388240243.

Almost surely, 2^{57545863638201} is an apocalyptic number.

57545863638201 is the 7585899-th square number.

57545863638201 is the 3792950-th centered octagonal number.

It is an amenable number.

57545863638201 is a deficient number, since it is larger than the sum of its proper divisors (26962969135476).

57545863638201 is an frugal number, since it uses more digits than its factorization.

57545863638201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83034 (or 41517 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 57545863638201 in words is "fifty-seven trillion, five hundred forty-five billion, eight hundred sixty-three million, six hundred thirty-eight thousand, two hundred one".