52057657 has 2 divisors, whose sum is σ = 52057658. Its totient is φ = 52057656.

The previous prime is 52057633. The next prime is 52057661. The reversal of 52057657 is 75675025.

52057657 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., 36917776 + 15139881 = 6076^2 + 3891^2 .

It is a cyclic number.

It is not a de Polignac number, because 52057657 - 2¹⁹ = 51533369 is a prime.

It is not a weakly prime, because it can be changed into another prime (52057627) 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, 26028828 + 26028829.

It is an arithmetic number, because the mean of its divisors is an integer number (26028829).

Almost surely, 2^52057657 is an apocalyptic number.

It is an amenable number.

52057657 is a deficient number, since it is larger than the sum of its proper divisors (1).

52057657 is an equidigital number, since it uses as much as digits as its factorization.

52057657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73500, while the sum is 37.

The square root of 52057657 is about 7215.0992370168. The cubic root of 52057657 is about 373.3890169033.

The spelling of 52057657 in words is "fifty-two million, fifty-seven thousand, six hundred fifty-seven".