57772513 has 2 divisors, whose sum is σ = 57772514. Its totient is φ = 57772512.

The previous prime is 57772501. The next prime is 57772523. The reversal of 57772513 is 31527775.

57772513 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., 56205009 + 1567504 = 7497^2 + 1252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57772513 is a prime.

It is not a weakly prime, because it can be changed into another prime (57772523) 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, 28886256 + 28886257.

It is an arithmetic number, because the mean of its divisors is an integer number (28886257).

Almost surely, 2^57772513 is an apocalyptic number.

It is an amenable number.

57772513 is a deficient number, since it is larger than the sum of its proper divisors (1).

57772513 is an equidigital number, since it uses as much as digits as its factorization.

57772513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51450, while the sum is 37.

The square root of 57772513 is about 7600.8231791037. The cubic root of 57772513 is about 386.5809238966.

It can be divided in two parts, 57772 and 513, that added together give a palindrome (58285).

The spelling of 57772513 in words is "fifty-seven million, seven hundred seventy-two thousand, five hundred thirteen".