57057819 has 32 divisors (see below), whose sum is σ = 96875520. Its totient is φ = 29054592.

The previous prime is 57057787. The next prime is 57057851. The reversal of 57057819 is 91875075.

57057819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57057787) and next prime (57057851).

It is not a de Polignac number, because 57057819 - 2⁵ = 57057787 is a prime.

It is a super-2 number, since 2×57057819² = 6511189418073522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57057419) 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 in 31 ways as a sum of consecutive naturals, for example, 4314 + ... + 11520.

It is an arithmetic number, because the mean of its divisors is an integer number (3027360).

Almost surely, 2^57057819 is an apocalyptic number.

57057819 is a deficient number, since it is larger than the sum of its proper divisors (39817701).

57057819 is a wasteful number, since it uses less digits than its factorization.

57057819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259.

The product of its (nonzero) digits is 88200, while the sum is 42.

The square root of 57057819 is about 7553.6626215367. The cubic root of 57057819 is about 384.9801957542.

The spelling of 57057819 in words is "fifty-seven million, fifty-seven thousand, eight hundred nineteen".