57456601 has 2 divisors, whose sum is σ = 57456602. Its totient is φ = 57456600.

The previous prime is 57456563. The next prime is 57456629. The reversal of 57456601 is 10665475.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 13579225 = 6624^2 + 3685^2 .

It is a cyclic number.

It is not a de Polignac number, because 57456601 - 2⁷ = 57456473 is a prime.

It is not a weakly prime, because it can be changed into another prime (57456631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28728300 + 28728301.

It is an arithmetic number, because the mean of its divisors is an integer number (28728301).

Almost surely, 2^57456601 is an apocalyptic number.

It is an amenable number.

57456601 is a deficient number, since it is larger than the sum of its proper divisors (1).

57456601 is an equidigital number, since it uses as much as digits as its factorization.

57456601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 57456601 is about 7580.0132585636. The cubic root of 57456601 is about 385.8750009138.

It can be divided in two parts, 574 and 56601, that added together give a palindrome (57175).

The spelling of 57456601 in words is "fifty-seven million, four hundred fifty-six thousand, six hundred one".