57320513 has 2 divisors, whose sum is σ = 57320514. Its totient is φ = 57320512.

The previous prime is 57320477. The next prime is 57320537. The reversal of 57320513 is 31502375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36096064 + 21224449 = 6008^2 + 4607^2 .

It is a cyclic number.

It is not a de Polignac number, because 57320513 - 2¹⁰ = 57319489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_3412448 and since 57320513 and 3412448 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (57326513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28660256 + 28660257.

It is an arithmetic number, because the mean of its divisors is an integer number (28660257).

Almost surely, 2^57320513 is an apocalyptic number.

It is an amenable number.

57320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

57320513 is an equidigital number, since it uses as much as digits as its factorization.

57320513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 57320513 is about 7571.0311715116. The cubic root of 57320513 is about 385.5701071885.

Adding to 57320513 its reverse (31502375), we get a palindrome (88822888).

The spelling of 57320513 in words is "fifty-seven million, three hundred twenty thousand, five hundred thirteen".