57055075 has 48 divisors (see below), whose sum is σ = 89351424. Its totient is φ = 35107200.

The previous prime is 57055057. The next prime is 57055129.

57055075 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-57055075 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57055075.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205837 + ... + 206113.

It is an arithmetic number, because the mean of its divisors is an integer number (1861488).

Almost surely, 2^57055075 is an apocalyptic number.

57055075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57055075 is a deficient number, since it is larger than the sum of its proper divisors (32296349).

57055075 is a wasteful number, since it uses less digits than its factorization.

57055075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 34.

The square root of 57055075 is about 7553.4809856119. The cubic root of 57055075 is about 384.9740242215.

The spelling of 57055075 in words is "fifty-seven million, fifty-five thousand, seventy-five".