57825539634241 has 2 divisors, whose sum is σ = 57825539634242. Its totient is φ = 57825539634240.

The previous prime is 57825539634221. The next prime is 57825539634281. The reversal of 57825539634241 is 14243693552875.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56092670166016 + 1732869468225 = 7489504^2 + 1316385^2 .

It is a cyclic number.

It is not a de Polignac number, because 57825539634241 - 2¹¹ = 57825539632193 is a prime.

It is not a weakly prime, because it can be changed into another prime (57825539634221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28912769817120 + 28912769817121.

It is an arithmetic number, because the mean of its divisors is an integer number (28912769817121).

Almost surely, 2^{57825539634241} is an apocalyptic number.

It is an amenable number.

57825539634241 is a deficient number, since it is larger than the sum of its proper divisors (1).

57825539634241 is an equidigital number, since it uses as much as digits as its factorization.

57825539634241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728000, while the sum is 64.

The spelling of 57825539634241 in words is "fifty-seven trillion, eight hundred twenty-five billion, five hundred thirty-nine million, six hundred thirty-four thousand, two hundred forty-one".