57309881168241 has 81 divisors (see below), whose sum is σ = 90050017935969. Its totient is φ = 35106462016704.

The previous prime is 57309881168219. The next prime is 57309881168261. The reversal of 57309881168241 is 14286118890375.

The square root of 57309881168241 is 7570329.

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

57309881168241 is a `hidden beast` number, since 5 + 7 + 309 + 8 + 81 + 1 + 6 + 8 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22025140679025 + 35284740489216 = 4693095^2 + 5940096^2 .

It is not a de Polignac number, because 57309881168241 - 2¹¹ = 57309881166193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57309881168261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114849461010 + ... + 114849461508.

It is a 1-persistent number, because it is pandigital, but 2⋅57309881168241 = 114619762336482 is not.

Almost surely, 2^{57309881168241} is an apocalyptic number.

57309881168241 is the 7570329-th square number.

57309881168241 is the 3785165-th centered octagonal number.

It is an amenable number.

57309881168241 is a deficient number, since it is larger than the sum of its proper divisors (32740136767728).

57309881168241 is an frugal number, since it uses more digits than its factorization.

57309881168241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 57309881168241 in words is "fifty-seven trillion, three hundred nine billion, eight hundred eighty-one million, one hundred sixty-eight thousand, two hundred forty-one".