57001312 has 48 divisors (see below), whose sum is σ = 119048832. Its totient is φ = 26818560.

The previous prime is 57001309. The next prime is 57001313. The reversal of 57001312 is 21310075.

It is a self number, because there is not a number n which added to its sum of digits gives 57001312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57001313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35928 + ... + 37480.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 2^57001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59524416).

57001312 is an abundant number, since it is smaller than the sum of its proper divisors (62047520).

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

57001312 is a wasteful number, since it uses less digits than its factorization.

57001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 57001312 is about 7549.9213240934. The cubic root of 57001312 is about 384.8530658731.

Adding to 57001312 its reverse (21310075), we get a palindrome (78311387).

It can be divided in two parts, 570013 and 12, that added together give a square (570025 = 755²).

The spelling of 57001312 in words is "fifty-seven million, one thousand, three hundred twelve".