57518401 has 2 divisors, whose sum is σ = 57518402. Its totient is φ = 57518400.

The previous prime is 57518371. The next prime is 57518413. The reversal of 57518401 is 10481575.

57518401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57456400 + 62001 = 7580^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 57518401 - 2⁷ = 57518273 is a prime.

It is not a weakly prime, because it can be changed into another prime (57518431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28759200 + 28759201.

It is an arithmetic number, because the mean of its divisors is an integer number (28759201).

Almost surely, 2^57518401 is an apocalyptic number.

It is an amenable number.

57518401 is a deficient number, since it is larger than the sum of its proper divisors (1).

57518401 is an equidigital number, since it uses as much as digits as its factorization.

57518401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 57518401 is about 7584.0886730048. The cubic root of 57518401 is about 386.0132996751.

Adding to 57518401 its reverse (10481575), we get a palindrome (67999976).

The spelling of 57518401 in words is "fifty-seven million, five hundred eighteen thousand, four hundred one".