57249445322241 has 12 divisors (see below), whose sum is σ = 83826432877668. Its totient is φ = 37643470896384.

The previous prime is 57249445322219. The next prime is 57249445322269. The reversal of 57249445322241 is 14222354494275.

57249445322241 is a `hidden beast` number, since 5 + 7 + 2 + 4 + 9 + 44 + 532 + 22 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39680739540225 + 17568705782016 = 6299265^2 + 4191504^2 .

It is not a de Polignac number, because 57249445322241 - 2¹⁵ = 57249445289473 is a prime.

It is a super-3 number, since 3×57249445322241³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57249445322341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43568831400 + ... + 43568832713.

It is an arithmetic number, because the mean of its divisors is an integer number (6985536073139).

Almost surely, 2^{57249445322241} is an apocalyptic number.

It is an amenable number.

57249445322241 is a deficient number, since it is larger than the sum of its proper divisors (26576987555427).

57249445322241 is a wasteful number, since it uses less digits than its factorization.

57249445322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87137664192 (or 87137664189 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 57249445322241 in words is "fifty-seven trillion, two hundred forty-nine billion, four hundred forty-five million, three hundred twenty-two thousand, two hundred forty-one".