57002052 has 96 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 16837632.

The previous prime is 57002051. The next prime is 57002053. The reversal of 57002052 is 25020075.

It is an interprime number because it is at equal distance from previous prime (57002051) and next prime (57002053).

It is not an unprimeable number, because it can be changed into a prime (57002051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244528 + ... + 244760.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^57002052 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 57002052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

57002052 is an abundant number, since it is smaller than the sum of its proper divisors (92383548).

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

57002052 is a wasteful number, since it uses less digits than its factorization.

57002052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57002052 is about 7549.9703310675. The cubic root of 57002052 is about 384.8547312736.

It can be divided in two parts, 5700 and 2052, that multiplied together give a square (11696400 = 3420²).

The spelling of 57002052 in words is "fifty-seven million, two thousand, fifty-two".