57200953 has 2 divisors, whose sum is σ = 57200954. Its totient is φ = 57200952.

The previous prime is 57200873. The next prime is 57200959. The reversal of 57200953 is 35900275.

It is a happy number.

57200953 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., 43599609 + 13601344 = 6603^2 + 3688^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57200953 is a prime.

It is equal to p_3405676 and since 57200953 and 3405676 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 (57200959) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28600476 + 28600477.

It is an arithmetic number, because the mean of its divisors is an integer number (28600477).

Almost surely, 2^57200953 is an apocalyptic number.

It is an amenable number.

57200953 is a deficient number, since it is larger than the sum of its proper divisors (1).

57200953 is an equidigital number, since it uses as much as digits as its factorization.

57200953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 57200953 is about 7563.1311637443. The cubic root of 57200953 is about 385.3018445837.

The spelling of 57200953 in words is "fifty-seven million, two hundred thousand, nine hundred fifty-three".