57253056 has 112 divisors (see below), whose sum is σ = 177515520. Its totient is φ = 15943680.

The previous prime is 57253037. The next prime is 57253057. The reversal of 57253056 is 65035275.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (57253057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54585 + ... + 55623.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^57253056 is an apocalyptic number.

57253056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

57253056 is an abundant number, since it is smaller than the sum of its proper divisors (120262464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57253056 is a wasteful number, since it uses less digits than its factorization.

57253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 57253056 is about 7566.5749186802. The cubic root of 57253056 is about 385.4187965379.

It can be divided in two parts, 572 and 53056, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 57253056 in words is "fifty-seven million, two hundred fifty-three thousand, fifty-six".